{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Tutorial de análise qualitativa e diagrama de bifurcação\n", "\n", "*Este tutorial pressupõe que você leu o [tutorial sobre integração numérica](https://colab.research.google.com/github/piklprado/ode_examples/blob/master/Integracao%20numerica.ipynb).*\n", "\n", "## Explorando o espaço de parâmetros: diagramas de bifurcação\n", "\n", "Diagramas de bifurcação representam as soluções (de longo prazo) de um modelo em função de alguma variável chave. A ideia é que, à medida que esse parâmetro muda, as soluções mudam de forma \"bem comportada\", e isso nos ajuda a entender melhor o comportamento geral do modelo.\n", "\n", "Neste tutorial, vamos estudar um modelo simples de predador-presa (modelo Rosenzweig-MacArthur), e ver como a quantidade de recursos por presa ($K$) muda a dinâmica.\n", "\n", "### O modelo de recursos do consumidor Rosenzweig-MacArthur\n", "\n", "Este modelo é expresso como:\n", "$$ \\begin{aligned}\n", "\\frac{dR}{dt} &= rR \\left( 1 - \\frac{R}{K} \\right) - \\frac{a R C}{1+ahR} \\\\\n", "\\frac{dC}{dt} &= \\frac{e a R C}{1+ahR} - d C\n", "\\end{aligned} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Soluções do modelo Rosenzweig–MacArthur\n", "\n", "Usamos o mesmo método de antes para integrar este modelo numericamente:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgwAAAGBCAYAAAAKQOmUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAAsTAAALEwEAmpwYAAB4XklEQVR4nO2deZgcVbn/P+/M9Oxr9n0jkEDYCQoxQkC2sMNlFRQUwasiiveHoARFRUG9ggteARURBARBQdnCJgQwAcISCFsIWci+TjKZzNrd5/fHqeo+VV09M5nM9Exm3s/z9NNVp07VnK5Mpr79rmKMQVEURVEUpS3yenoBiqIoiqL0flQwKIqiKIrSLioYFEVRFEVpFxUMiqIoiqK0iwoGRVEURVHaRQWDoiiKoijtUtDTC+itDBo0yIwbN66nl6EoiqIoOeO1117baIwZHHVMBUMWxo0bx/z583t6GYqiKIqSM0RkebZj6pJQFEVRFKVdVDAoiqIoitIuKhgURVEURWkXFQyKoiiKorSLCgZFURRFUdpFBYOiKIqiKO2iaZWKoii9jLq6OtavX09ra2tPL0XpI8RiMYYMGUJlZWWnr6GCQVEUpRdRV1fHunXrGDlyJCUlJYhITy9J2cUxxtDY2MiqVasAOi0a1CWhKIrSi1i/fj0jR46ktLRUxYLSJYgIpaWljBw5kvXr13f6OioYFEVRehGtra2UlJT09DKUPkhJSclOublUMCiKovQy1LKgdAc7+3ulgqGHWLWlka/85TXufjlr2W5FURRF6TWoYOghbn72Qx5fuJar/7GQ5niip5ejKIqiKG2igqGHuPeVFantdVube3AliqIoitI+Khh6AXVNmmutKIqi9G5UMPQC6hpVMCiK0r9obu4dltXeso5dARUMvYBtzfGeXoKiKEq3ce211yIiLFy4kGOPPZby8nLOOussGhoauPLKKxk/fjyFhYWMHz+eH//4xySTycD5GzZs4Ktf/SqjR4+mqKiI0aNH87nPfS71sL/wwgsZN25cxs+dMWMGM2bMSO0/99xziAh///vfufjiixk8eDBDhw4FYNGiRZx22mkMGTKE4uJixowZw5lnnkk8nv77/MEHH3DaaadRXV1NSUkJhxxyCE888UTX37BeilZ67AU0tWrQo6IobfODf73Du6vrenoZ7DWiku+fNKVT555yyilcdNFFXHnllSSTSY499ljeffddrrnmGvbZZx/mzZvHj370IzZv3swvfvELAGpra5k2bRqbN29m1qxZ7Lvvvqxfv56HH36YlpYWioqKdngdX//615k5cyZ33XUXTU1NAJx44olUV1fzu9/9jkGDBrFq1Soee+yxlHhZvXo106dPp6Kigptvvpmqqip++9vfcsIJJ/DII48wc+bMTt2TXQkVDL2A5niy/UmKovRr3l1dx8tLN/f0MnaKyy67jG984xsA3HXXXbz44os8//zzHHbYYQB85jOfAeAHP/gBV155JUOGDOGmm25iyZIlzJ8/nwMOOCB1rXPPPbfT6/jEJz7BH/7wh9T+xo0b+fDDD3n44Yc5+eSTU+Of/exnU9s33ngjtbW1zJ07l4kTJwJw/PHHs9dee3H11VerYFC6h2TSBPZVMCiK0h57jeh806CuZGfWcdppp6W2n3jiCcaOHcu0adMCZv9jjjmGWbNmMW/ePE4++WSefPJJDj744IBY2FncdQAMHDiQCRMmcNVVV7Fu3TpmzJjB7rvvHpgzZ84cDjnkkJRYAMjPz+fcc8/lhz/8IXV1dTvV2GlXQAVDD9AUqrvQrC4JRVHaobNugN7E8OHDU9vr169n+fLlxGKxyLmbNm1Kve+3337dtg6wFRCfeuoprr32Wr7zne+wadMmxo8fzxVXXMFXvvIVADZv3hwpWoYNG4YxhtraWhUMStfTGlcLg6Io/Q+3NPHAgQMZP348999/f+RcP4jRjydoi+LiYlpaWjLGN23axMCBA9tch8+ECRO48847McawYMECbr75Zr761a8ybtw4Zs6cyYABA1i7dm3GeWvXrkVEGDBgQJtr7AtolkQP0JIICgQNelQUpb9x3HHHsWLFCsrLy5k6dWrGa9CgQYB1UbzyyissWLAg67XGjh3LunXr2LhxY2rso48+4oMPPtjhdYkI+++/PzfeeCMACxcuBODwww9n3rx5LFu2LDU3kUhw3333ccABB1BRUbHDP2tXQwVDDxAPpQyphUFRlP7Geeedx7Rp0/jMZz7DjTfeyDPPPMPjjz/OzTffzDHHHENDQwMAl19+ORMmTOCoo47iV7/6Fc8++yz3338/5513Htu2bQPgzDPPREQ477zzmD17NnfffTennHJKSnS0x1tvvcURRxzBLbfcwtNPP83s2bP58pe/TEFBAUceeWRqHdXV1Rx99NHcc889PPLII5x00kksWrSIH//4x91zk3oZ6pLoAcIuCbUwKIrS34jFYsyePZsbbriB2267jaVLl1JWVsZuu+3GCSecQGFhIQDV1dW89NJLzJo1ixtuuIFNmzYxdOhQjjzyyNSciRMn8sADDzBr1ixOPfVU9thjD2688UZ+8pOfdGgtw4YNY8yYMdx4442sXLmS4uJi9tlnHx555BEOOuggAEaMGMGLL77IlVdeyVe+8hWam5vZf//9efTRRznuuOO65yb1MsQY0/6sfsjUqVPN/Pnzu+Xai9fXc9SNz6f2z/3EaK4/fd9u+VmKouxavPfee+y55549vQylj9Le75eIvGaMmRp1TF0SPUDYJdESV9GmKIqi9G5UMPQAYZdEWEAoiqIoSm9DBUMPEM6SiCfUwqAoiqL0blQw9ADxkGBoTaiFQVEURend9LhgEJGJInKriCwQkYSIPNeBcw4WkT+JyGIRaRCRD0Tk+yJSHDH3FBF5W0SaRORdETm7Wz7IDtAasiioYFAURVF6Oz0uGIApwPHAIu/VEc4GdgN+6p37W+BbwN3uJBGZDjwI/BuYCTwK3Csix3TJyjtJayhmIZ5Ul4SiKIrSu+kNdRj+ZYx5GEBEHgA6Umnjp8aYDc7+cyLSBNwqImONMcu98WuAOcaYy7z9f4vIFOB7wJNdtP4dpjWuLglFURRl16LHLQzGmB1+WobEgs8b3vsQABEpAo4AwoXK/wocKiJVO/pzu4pMl4RaGBRFUZTeTY8Lhi5kGpAE/OLhuwEx4P3QvPewn3uP3C0tSDiNMhwEqSiKoii9jT4hGERkGHA1cJcxps4brvHet4Sm14aO55yWDJeEWhgURVGU3s0uLxhEpBDrdqgHLo+YEn4aS5ZxROQSEZkvIvM3bIjyenQN4SBHLdykKIrS97jwwgtTbbrb4o477kBEAp0weyO7tGAQ29T8TrxMC2NMrXPY364OnebvbwlfzxhzmzFmqjFm6uDBg7t2sQ7hIEe1MCiKovQ9rrnmGv7xj3/09DK6jN6QJbEz3AScAhxtjAnHKnwEtAKTgeed8cnYWIeOpnB2OZkuiewWhvV1TVSWxCiO5Xf3shRFUZQuZLfddsv5z2xtbaWgoAD7fbpr2WUtDCLyHeDrwPnGmBfDx40xzdj6C2eGDp0NzDXGbO3+VUaT4ZLIYmF46t11fOInz3D2rXPRrqKKouzKLFiwgNNOO42BAwdSUlLCpEmTuP766wEwxnDTTTcxadIkCgsLGT58OJdeeil1dXWBa4gIs2bN4te//jXjx4+noqKCww8/nHfeeScwb/bs2UybNo2qqirKy8uZNGkSP/zhD1PHs7kKZsyYwYwZM1L7zz33HCLCQw89xJe//GUGDBhATU0Nl19+OYlEgldffZXp06dTVlbGlClTmD17duB6UT9nyZIlnHDCCZSWljJ48GC+8Y1v0NzcnLGW1tZWZs2axbhx4ygsLGTcuHHMmjWL1tbW1Jxly5YhIvzf//0f3/72txkxYgRFRUVs2bKlrX+KTtPjFgYRKcUWXwIYCVSKyBne/mPGmAYRWQw8b4y5yDvns8BPgDuAVSJyiHPJj5y0yx9hazT8EnjI+znHAz3avDxchyFbDMPvX1gCwIKVW1m1pZFRNaXdvjZFUXopj18Fa9/u6VXAsH1g5g07dMorr7zCjBkzmDhxIjfddBOjRo3iww8/5K233gLg6quv5vrrr+drX/saJ510Eu+++y7XXHMNCxYs4PnnnycvL/3d9i9/+QuTJk3iV7/6FS0tLVxxxRWccsopvP/++xQUFLBkyRJOPvlkzjjjDL73ve9RWFjIhx9+yJIlSzr9kb/5zW9y+umnc9999zFnzhyuu+464vE4Tz/9NFdccQUjR47kuuuu4/TTT2f58uUMGhRdTqilpYWjjz6axsZGfvvb3zJkyBBuvfVW/v73v2fMveCCC7j//vv57ne/y/Tp05k7dy7XXXcdS5Ys4Z577gnM/fGPf8zBBx/MbbfdRiKRoLg4o+hxl9DjggFbN+FvoTF/fzywDLtO1ybvV2q80Hu5fAErJDDGvOiJj+uArwBLgc8aY3qsaBNkuiDCLgqfV5ZuTm1v2NasgkFR+jNr34blGcbUXYL/9//+HwMHDmTevHmUltq/Y0ceeSQAmzdv5sYbb+SCCy7g5ptvBuDYY49l8ODBfO5zn+ORRx7h5JNPTl0rFovxyCOPEIvFUmNnnnkmr7zyCtOmTeP111+npaWF3/3ud1RWVgZ+Vmc58sgjufHGGwE4+uijefTRR7n55pt54YUXmD59OgDDhw9nv/3249FHH+WCCy6IvM6f//xnlixZwty5cznkEPs9d+bMmeyzzz6BeQsXLuTee+/l+9//Ptdeey0AxxxzDPn5+VxzzTVcddVV7Lvvvqn5Q4cO5R//+Ee3uCFcelwwGGOWkc5cyDZnXGj/QjKFQrZzH8JaF3oNrRlZEu27G7Y0tLY7R1GUPsywfdqfkwt2cB0NDQ289NJLXHHFFSmx4DJv3jyam5s5//zzA+PnnHMOX/jCF3j++ecDguHoo48OiAX/Yfvxxx8zbdo09t9/f2KxGOeccw5f/OIXOeywwxgyZMgOrTnMzJkzA/uTJ09m0aJFKbHgjwGsWLEi63Xmzp3L6NGjU2IBIC8vj7POOislDADmzJkDkHFPzj//fK655hqef/75gGA49dRTu10sQC8QDP2RRAdjGFy2NLZ013IURdkV2EE3QG+htraWZDLJqFGjIo9v3mwtqcOHDw+MFxQUMHDgwNRxnwEDBgT2i4qKAGhqagJg4sSJzJ49m5/+9Kd87nOfo7m5mYMPPpif/exnHH744Z36DDU1wbI9hYWFVFdXZ4y564hizZo1DB06NGM8PJbtngwbNixw3Cc8r7vYZYMed2XCgqGlA5UeG1u0VoOiKLseNTU15OXlsWrVqsjjvgBYu3ZtYDwej7Np0yYGDhy4wz/ziCOO4IknnmDLli08/fTTxGIxTjjhBDZu3AhAcXExLS2ZX8I2bdq0wz9rRxg+fDjr1q3LGA+PZbsn/n74nuTCugAqGHqEsGAASLbjlmhoiXfXchRFUbqN0tJSpk+fzl/+8hcaGxszjh9yyCEUFRXx17/+NTB+3333EY/HO20VAGt9OPLII/n2t7/N9u3bWbp0KQBjx45l3bp1KQEB8NFHH/HBBx9ku1SXcOihh7JixQrmzZuXGksmk9x/f7Dlkf+Zw/fk7rttQ+bDDjusW9eZDXVJ9ABRgiGeNBTmpVViuL9EU2ui29elKIrSHfzv//4vhx9+OIceeij/8z//w6hRo1iyZAlvvvkmv/nNb/jWt77F9ddfT1lZGccffzzvvfces2bNYvr06Zxwwgk79LNuueUW5syZw/HHH8/o0aPZuHEj119/PSNGjGDvvfcGbJDkNddcw3nnnce3vvWt1Jxs2Q1dxQUXXMANN9zA6aefzk9+8hOGDBnCLbfckpE+OmXKFM4991yuvfZa4vE406ZNY+7cufzoRz/i3HPPDcQv5BK1MPQAiYiaCu25KRpVMCiKsoty8MEH89JLLzF69Gi+/vWvc/zxx/Pzn/88Fdfw4x//mBtvvJHHH3+cE088kRtuuIHPf/7zPProo4GUyo6w3377sX37dr7zne9wzDHHcOmllzJ+/HieffZZSkpKABvn8MADD7Bq1SpOPfVUfvazn3HjjTeyxx7d25OwsLCQp556iv3335+vfvWrXHDBBYwfP55Zs2ZlzP3zn//MlVdeye23387xxx/PH//4R6688kr+/Oc/d+sa20K0IFA0U6dONfPnz++Wa1/14Fv89dVgJO3CHxxLeVHa4FO7vYUDfvRUav+LnxrP907aq1vWoyhK7+G9995jzz337OllKH2U9n6/ROQ1Y8zUqGNqYegBotIoE6FMieZ42MKgMQyKoihKz6GCoQeICnAMV3tsjgddEI0t6pJQFEVReg4VDD1AR2IYMi0MKhgURVGUnkMFQw8QlSURFhHNrR0rH60oiqIouUAFQw+QjLAwhKs9hl0SrR2oBqkoSt9Ag9GV7mBnf69UMPQAUaWg23NJdKQapKIouz6xWCyywJGi7CyNjY2BPhw7igqGHiDSwpAhGIIWBnVJKEr/YMiQIaxatYqGhga1NChdgjGGhoYGVq1atVONuLTSYw8QWRq6nRiGcEtsRVH6Jn5L5tWrV9Paql1qla4hFosxdOjQ1O9XZ1DB0ANEhSNkxjCoYFCU/kplZeVO/WFXlO5AXRI9QCKZ+fDPjGFQl4SiKIrSe1DB0ANEN58KF24KWxjUl6koiqL0HCoYeoAIA0O7MQzZsiTeX1vHkf/7HNf+850uW5+iKIqihFHB0AP4RZok3c06I4YhnDWRzSXx+zlLWbJxO3f8Zxkraxu6dqGKoiiK4qGCoQfwXRKF+XkZYz7xRMeCHh99e3Vqe2Wt5m4riqIo3YMKhh4gJRgK0rc/bFFoDe9nEQyuJ2NdXVMXrVBRFEVRgqhg6AF8wVDkCIZwL4lwJkVrwkR2uXSFRF2TtsBWFEVRugcVDD2AH+AYcEmEYxgisiJaI6IlXQ1Rr4JBURRF6SZUMPQAHXJJRAmG0FjY4lDfrFXhFEVRlO5BBUMP4LsfXMEQDnqMKu4UzpRobA0Wd9qmFgZFURSlm1DB0ANEWRjCMQzhoEfIDHxUwaAoiqLkChUMPUB0WmVQDITTKiHCwtCSaHNfURRFUboKFQw9QDIqhqGdwk1RY2ELQ1NcBYOiKIrSPahg6AF890OszcJNEYIhZHVoCFkUwuWkFUVRFKWrUMHQA6TrMOSnx0zYwpD58M+wMLSohUFRFEXJDSoYeoDIwk0dsjCEXRLBIMcmtTAoiqIo3YQKhh4gsg5DB2IYwoWbGltCLbFb1cKgKIqidA8qGHoAXwvE8tPtKsMWhqjeEeE5DS1hC4MKBkVRFKV7UMHQA3QkhiEsDiBTRDTH2973aYknufeVj3lr5ZbOLFdRFEVRVDD0BJGFm7LEMLhWiAy3RUhAZLMw3DVvOd/5+9uc94eXqWvS8tGKoijKjqOCoQeIKg0dFgN+vEKxa4UIi4rQflMWC8M9Ly8HbCXIhSu3dnLViqIoSn9GBUMP4D/4Y3luDEMyck5xYVowhF0SLYnMc6JiH9Zva05tr61r6uSqFUVRlP6MCoYc43aYzMsTCjzRkNFLwrM4FMd2LPUyyi1R4AiTdXXNGccVRVEUpT1UMOQY141QkCfkew/zsHvBj09wXRLhhlRR/SbCLbCNMYES0lsaWzq5ckVRFKU/o4IhxyRN0MLgC4ZEIjpLojiWFgxhgdASYWGI6mjpFnSq146WiqIoSidQwZBjXLdCvmS3MPhBjyWuYOiAhSHc0bK+OSgQtAW2oiiK0hlUMOQYN1Yh34lhSIZ7SXjWg6LYjlWDDAdChvtNhAWEoiiKonQEFQw5JhD0KEJ+nv0nyLAeRLkkkm1nSUCmSyLc0VJdEoqiKEpn6HHBICITReRWEVkgIgkRea4D5xSKyM9F5AURaRSRzK/adt4dImIiXpO7/IN0kEDQY77gd7gOxzD47oaAS6Kdwk2Q6ZIICwYt3KQoiqJ0hoKeXgAwBTgemAcUdvCcUuBLwCvAf4Aj25j7PvCF0NiyHVti1xG2MBRkszBEpFWGLQxRaZUZQY/qklAURVG6gN4gGP5ljHkYQEQeAAa1d4IxZouIDDDGGBG5lLYFw3ZjzLwuWutOE45hyM8WwxDpkgjOiXJJtMTba1ClLbAVRVGUHafHXRLGmE49wYwxkW6I3k62LImwZSAelSWR4ZLoWFqlS7YW2Jvqm7ns3je446Wl7X0ERVEUpR/S44IhB+wlInUi0iwiL4rI4T25GNerkM3CYIxJFWAK9puIFhUu7cUwhAWEzy3Pf8Q/F6zm2n+9y0cb6jvwSRRFUZT+RF8XDG8A/wOcBJwH5ANPicgnempB7kPeTat0LQ+u56EgLy81J9Ml4bfJTv8ztpclEc/Sb+LxhWtT2wtXaYMqRVEUJUhviGHoNowxv3L3ReRR4F3gu8Cp4fkicglwCcCYMWO6ZU3hSo95kikY3Ad6Qb5QkC/EkyZr4aayogKa47bkcziuoSEiyLGpNUEsP6gV3Z+5srZxhz6ToiiK0vfp6xaGAMaYRuAx4MAsx28zxkw1xkwdPHhwt6zBfZ7nixUDdjwtBlxhEMsXYl4mRUacg2dhcOMcMlwSES6IcOCjMSZQAXKddrRUFEVRQvQrweDQYwGTgaDHPFIWBlckuDUZ8vPyyI8QFZC2JpQVuS2wg3PCaZWQ2dFye0si4LrY2qi1GhRFUZQg/UowiEgJMBN4rafWEBQMeZGloVudOIdYfrpWQ1gM+PEQpYVpz1LYCtEcb18wbAsVc1LBoCiKooTp8RgGESnFFm4CGAlUisgZ3v5jxpgGEVkMPG+Mucg5byZQBuzv7fvnvGqMWS4iVcAjwF+Axdj6Dpd7P+Os7v1U2QnWYbBxDBBMkXS3C/LyiKUsDNEuidJC18IQFgyZAY5hl0S4XPSWBhUMiqIoSpAeFwzAEOBvoTF/fzy2KmMBNsPB5XfA2IhzvgDcATQDG4BZ3s9oAuYChxtj5nfN0necREalx6gYBifo0Um9DNdd8F0SroUhLBDCVgnITK3cFgqMVAuDoiiKEqbHBYMxZhkg7cwZ15Gx0PEm4PSdWFq3kMxS6dG1PAQsDPmSymhozVI+ui0LQ0sHXBLbVTAoiqIo7dCvYhh6A8EYBkcwZLMw5Oc5c8IuCbtfWJCOhcgUDHZfHEkWtjCEXRJhAeGzvq6Jz9/+Clf/4+1ATwxFURSl76OCIceES0NHuyTcGAZxxEB04aZYfl7aChGa4+9XlcRSYxlBjyGB0BxPRnbC/M2zi5mzaAN3v/wx85fXtvUxFUVRlD6GCoYcE7YwRBVuCgY9pl0S2UpDx/IlFRgZrsPg75cXZY9zCFsYILp+w78/WJ/afme1VoNUFEXpT6hgyDGJUKXH9go3FeQ7QY9ZYhgK8vJSPSfClR6bE5mCISwqolpeR9VvcIXGso3bM44riqIofRcVDDkmGXJJRFkYEoEsiXRaZbYsiViBUOi7JLJYGCqKd0wwhOMYmloTbNjWnNrfUN8cPkVRFEXpw6hgyDHxkEsiqrFU2CXhF24KV3r0XRSxvDxiWSwMrVEWhtCcqCDHcNOqzdtbAvsbtwX3FUVRlL6NCoYck8zIksgUA+E4B99t4VaATCRNqqulG/SYNYahOB302Bwq3BRV3CksIsLFnNTCoCiK0r9QwZBjEhl1GLzxNmIYCiIKN4U7WmbLkvAFQ0ksD+8ytCSC1oNw1gRkWhjCtRk2tiEYtja2RmZZKIqiKLsuKhhyTLjSY8rCYKItDO4cVySEO1oW5mepw+C7LfLzKCqwBZ7CVgi/VLQvTKB9wVDfHI+sxTBvySYO+ckzzPjf57QAlKIoSh9CBUOOyaz0aLez12Fwe0k4FgbnoR+swxCKYYinizulMiniYZeEFQcDygpTY9tbgi6JutDD35jMOQC/n7OExtYEK2sbefKdtRnHFUVRlF0TFQw5piMBjZkxDJlzWkPVILMJhuZEhGAIz/EsDAHB0IFy0dsi6jcs3lCf2n5vzbaM44qiKMquiQqGHJMM1WGITquMjmFwRYIrPGJ54mRJpMeNMSlrQmF+Xir1MjPo0VoYgtUgg3OiBENdqC12SzzJis0Nqf0lG+vDpyiKoii7KCoYcoz75T5fshVuSk9yUy8TWYIeY/l56RiGeHScQ2F+HkUxTzAkomMY2iof3RELw6btzbhhDevqNJNCURSlr6CCIccEKz3SvoUhkFbpCobojpau2HBjFQoL0haGjKBHz8JQUphPkWepaK+jJWTGNYRrM2zY1pRxjs+WhpbI7AxFURSld9JpwSAih4jIH0TkNRH5SEReF5Hfi8i0rlxgXyMZCmhMF26KtgzkO3EO8UCWRLagx/S5YcFQlC3o0bMwFBXkURyzmRThh7mfNeEHYEKmhWHj9qBFYWN9S0ZMBcCLH27kEz9+hsN+9u9A9UhFURSl99IpwSAi1wEvAV8EDgDGA/sDFwEviMhPumqBfY14qDS03yciaWzMAYQtDHmRvSRa425aZXThppaw2yKLYPAtDMWxfIpjvoUhOMdvRjW0sjg1Fo5h2Bjx8N9Un1kR8k8vLaUlkWT9tmYefnNVxnFFURSl97HDgkFEzgS+C3wMfAmYAJR471/yxq8UkbO6cJ19BtfCkJdHSgxAWijEQ3OiekkEsySEwoLMOgwZLglPMPhBjj6+hcEKBs/CEJrT6KVQDqkoSo1lWBgixMGWxsyxN1ZsSW2/tVK7XiqKouwKdMbC8HVgHXCwMeZ2Y8wyY0yz9347cDCwAfhaVy60r5BZ6VEyjiXcKo55eZHlo4NZEtFpla6FoajAKdzkjBtjUuKgqCCP4oK2XRI1pYWpipHhjpabt2daGMIlpbc1tQb6Uixap6mXiqIouwKdEQz7AQ8YYzZGHfTG/4Z1USghMqs4ZloY3OrO+XmSsjC4VoVglkR0aeiWeDiTItpt4WuYtlwSvjgoKcynrNA2sgoXboqqyxAWDKu2NAb3a4P7Pomk4a55y3li4ZrI44qiKEpu6YxgKAAa2pnT4M1TQmRkQEQJhkB763TQozFpl0awl4QTw5CIFhWFWWIY3MZTRQV5FLUT9FhamE9pkZ3T0Byc4wsGP7gSYGvIJREWCNua42xrykzZvOX5j7jmoYX8919e54UPN2QcVxRFUXJLZwTDYuBEEYk81xs/HvhoZxbWVwlXcfTTKt1jGVkSTmaCb2UIuCRCvST84MnsMQzpcVcYFAViGEJBj541obSwIGVhaAiJim1e6uWompLUWHsWBoC1WzPTLx95K21Z+NeC1RnHFUVRlNzSGcFwL7An8LCI7O4eEJHdgAeAvYB7dn55fQ+/0qMIiATFgC8UEhnlozNFRbhwk29hMCY9J5tgCFgYHNdDcUEexX4dhlB8QmNr2iVRUuhbGIIuiHrPUjC0sji15i0ZXS4zgyBXhwRDQ0ucD9bWpfY1MFJRFKXn6Yzb4EbgOOAEYKaIrAbWAMOAkVgR8qI3TwnhP8zzPcuCG8OQzGJhcOf4MQpuEadYfro0tD+nID9Y0dF2q4xySQQtDL4YcLMkWhPJ1M8tjWWPYaj3BERFcQFVJTE2bW/JqBC5tSFTMGwKtcr+eHNDoGLkkg3biSeSqZ4aPis2N/DN+96ksriAX55zQKBSpaIoitK17LCFwRjTAhwNXA0sBUZhMyNGe/tXA5/x5ikh/EwIXwTkS4SFIZmeI5IOaHSPxUOZFO4cP46hNRSfkHJJJFyXRNjCkBnD4La6LnFiGMJZEvVeDEN5UYyqUvvw3hISCL7FwX24u1kTQEYxp5ZEkpURwZE3PPE+ry2v5d8fbOBPLy3NOK4oiqJ0HZ0q3GSMaTXGXG+M2R2oxIqFSmPM7t54ZhSbAqTdDSnB0EYdhigrhC8UAi6JgnQvCfeYGwBZWJBHkZMl4cc5hC0MUVkSrjAoLSyg1LNCbG+JjmHwLQwAdY1BK4Qf0zBmQGnqc7UnGABWh2IfWhNJ5nyQDoZ8+r11Gef4JJIm9XkVRVGUzrHTvSSMMfXGmFXGGG1N2AFSFoYIMRDOkvCPxQJBj34MQ6hbZb7rkvAEQzw6SwLSYiLDwhCRJdHguB5KCvMo9YMenRgGY0zAJVFZ7AmGUAaEb2GoLo1RU2rbaXdEMISDJZdvakgJFID312yL7E3x5ootHPijp5h2w7Ms3bg947iiKIrSMbT5VI7x4xTyoiwMqdLQdr8gNcdxSSQiXBL5eQH/vl82OsMK4QoGT0yELQx+WmWzY4UIuCRiBZRFWBgaWhKpeg7lRWkLQ7YYhurSQgaWWcGwKYtgcG4Nq7cEAyPDAiKeNJFFoH786LtsbWxlzdYmbnpqUcZxRVEUpWN0qlaCiJRhKzkegw10LIqYZowxu+3E2vokGTEMbVkY8qMsDL5LIhT06MxpyWJh8Cs9uscCFoZYXsolAVY0FMfyUxkS4NdhsL82rqui3vm2X15cQGWJnRPuaJmyMJTEGOAJhtqQYFjvCYZRNaU0tMTZWN+S4ZKIKvi0dON29h1Vndqv3d7C/OW1qf1n318fGTy5sraBqx58m7KifK47dR8GV0T9OiuKovRv2hUMInIp8KAxZo23X4NtPDUZqMPGMGwFCrE9JQBWAxrHEIH/pd8XCgWB+IRgDENBG6KiNdStsjDCJdGcJa0SXJdE+qFfXJCfCnoEKwiKY/kBC0NpYT6lsXSJ6ZZ4ksKCvEDxJdfCUNcUxxiDiJBMmpTFobo0LRiyuSQGVxTRmohZwbA1JBi2ZNYOW7Ih6HJ4ddlm3NCF+uY476yuY7/R1YF5sx5ayIuLbeHSooJ8fn3uARnXBmsdakkkU24bRVGU/kRHXBLfAOaLiN+m8BqsWLgIqPHGbgLKgWnA69iiTXt27VL7BinrgWS6G5ImM0sCSFV6hLQYiIdqNUTGMIQrPeZHuSScTIpYXuBh6KdWNgZiGNIWBnvMznHLQrsxDImkSbkutjXFUw/wKsfCkOGS8NIsB5cXpbpjrqsLuSQ8C8PI6hJGVNk54RiFjzZkxiwsXB2s6bCuronnnODJx95ekxF3AfDvD9azz7WzOfi6p5mzSCtPKorS/+iIYDgMGI7tRglwEvC8MeZPxgk9N5Z52CqPk7HplUqIsIXBtY7Hk2ELQ573nr1wk4jXb6IgUzC4LbDDFobmeBYLg+OS8N0VQZdEOoYB0rUYAi6JolggbdK3KridK2tKC1OCYWtjayAmw7UwDPfEwJqt0TEMI6tLGDeoDIBlm4ICYenGeu9nxVKZHe+vCcY5LHA6Z4K99/9ZHGyT0ppI8p0H32Z7S4JtzXG+8/e3A/EhPqu3NPKt+97ksnvfYMXm9qqnK4qi7Fp0RDB8Htsbwk90H4W1IvgkcWIYjDHrgceBc7pojX0K34rgGw0CAY2hOgz+oUBp6EQwSyKWl+fVanBiGDyh0JJIeD/DFn+KDnpsw8LgCYUMl4RjYfCP1YctDI5g8OMY3DLRrksC0rENTa2JlMAYUpG2MGxrirPdESUpC0NNCWMHlgK24JOL76KYOKSc3YdWAPDB2qBgWLgqs4rkvCWbA/tvrdzCWsfCsWpLIy+FREUyafjKX17j72+s4p8LVnPxnfMDIshnXV0T3/3H21zxtwUqKhRF2aXoiGC4FNud0nciN2BFgs9WbJVHl3XYYEglREalxzZ6SfgWhrYKN/liIiqGwRcF/rGidiwMRQX5lEQIhsZw4SZnjp9yuS1gYUi7JMARDI1BwVDjCAY/jmGjU/VxcEURwyqLU/v+Q7s1kUxtj6wuYcwAa2HY0tAayMrwXRTjB5Wx5zArGN5bWxeoybBwtS1BPWFQGQeMqQZgwcotuIQFBMDsd9YG9ud8uIEFTgnr99duy6gN0RJP8vk/vsI9L3/M315byTm3zQuIIJ/5yzZzym9f4rhfzuGpd7PXl1i8vp6Fq7ZqjQlFUXJCRwRDETBSRMq9/RXYQk0+7wKHiYgbCTYdCP5FVYDM+ISogMZkG3PChZt8MREVw5CyQviiIiAYEt57MjUnP08oinBJBCwMsXSlR4DtzdEWhkiXhFP1saoknVYJacHg1mBwXRIA6zy3xNqtTanS0SOq0xYGgI832W/tWxtaU7ER4weVs4dnYdjWFGddXfpn+BaGKSOr2M/LsHhndV0gw2TuR5u865Rx+B6DAXjmvfWBB/Xsd9IPdl8D3v3yx7jMfmctHzipn6u2NHLrnCWBOau2NHLB7a+wYMUW3l+7jf/+y2u8tjwoWBJJw1UPvsVRNz7Pib95kfP+8HKk8HhvTR1fu/t1vvCnV3j87eg24fFEkuc+WM9jb6/JqMrp0hJPZlT2VBSlf9GRtMpvAD8DdgfeAJ4HzhKRPGNMErgP+DXwqIj8C5gBHAL8rltWvIvTEcEQ9wIjCyIKN8VTWRJBMRAlGHwxUOhlPkSnVdqHgJ8dERX06AuGQq/eg99Lwh7LjGEoK0qnVYLNlIBgTYbq0ljgoVybRTCUOe4PP47BrcEwsqYkIDw+3tzAPqOqWOrEM4wfVEa5c51F67YxrKqY9XVNqRTOvUdUptIpW+JJFq3bxt4jq2iJJ5nvPbAPmTCQPYdX8PyiDazf1sy7a+qYMqKKZNKkrAkzJg1mdE0pd81bzn8+2kTt9paUJeXul5cDNuBzaGURi9bV85d5y/nqjN1S9/03z3wYqG+RSBqu/sdCHr3s06nflT+8sIS/vroiNec/H23iG399g9s+NzVV3+PDdds4+9a5qXv/7w82cNlndudbR++ROm/z9hYuuXN+KvW0oqiA6/9rH07cd0RqzramVn7y2Hv8/fVVNMeTTB1bw3eOn8xBYwek5jS2JLjnlY+ZvXAt21viHDimhnM/MYa9RlSm5rTErTB54cONNLQkmDysgpP2G8EwRxAmk4a3Vm1l/rLNNLYkGDuojIPG1jCyOt391BjD8k0NvL1qK02tCUZWlzBlRFWqFLk/Z2N9Cx+u30ZLPMmAskJ2H1KR6pPizqtvjrNhWzNJYxhVU5qRAdMcT7C+rpntLXEqi22xsfB1WhNJtja2sr05bq1rJbHA/0f/8ze2JmhqTVBckE95cUHg/354Xa0Jg8FQmG9djtnmJY2tV9LWHGPSze6yzfHJNqcz+D+7M/avqFVELa0r16u0T7uCwRhzL7ZDpc+fsJaJkVhrwy3AkcCp2LoMYNMuZ3XlQvsKfh2GvKiyz55QyBQVeRlzWuNBC0NhgVuHIdit0ndFFEXEMPhWBL9gk5tW2dwazJLw/1CWFbkuCc/C4AmG4pjtaxFtYUgLhqqSWCDTY7P37XZDyCXhujZ8N4Rbg2FkdQlDKtN1E5ZvtkLBD3gEmDC4LLCeReu2cdgeg3lndboj5j4jqxjqPLzeXLGFvUdWsWDlltQ9OmTCAA4YXQO8A8BzH2xgyogq3ly5JSV0jtlrGOMHlXHXvOUkkoan3l3HWQePZvH6+pRr46ypo9hnVDWX3fsGm7e38I83VnHuJ8awfNN2/vbaSgCO2nMI+42q5hdPLeL9tdt48PWVnDV1NB9tqOcXXgGq0QNKGFJRzGvLa3n6vfX85tnFfOOo3Vmz1VopfLGQnyckkoZfP/MhBXnCZZ/ZnaUbt/OFP73Csk3pOIptzXEuvecNFq3dxjeP2oPXP67l8vvfZMXm9P2ev7yWM26Zy+cOGcvFn57A6x/XcsPj7weCUt9ZXcdd85Zz6ISBnHXwKNZsbeKuucszAlevf/w9pu8+mGm7DWTt1iaeWLg2ECviM3pACQeNqSGeNLy8dHNkJdCxA0vZY2gFTa0J3ltTl9EVNU+sNWpEdQmtiSSb6lvYsK05ENArAsMqi+3vZtKwsb45oz07QEksPxV/s6WhJaNEuj+nvLgAwf7+u7FCPuVFBRTk2xb3ca/BW2siGWg+B8Gy7vGkIZE0xJPJQIM230IoCAljSCYNCe+B7d6DPLE/L2kMBhtTFeXR8p/DO+rt6ux5SufZa3glj33j0zn5WTtcuMkY8ybwdWc/DpwuIgcBE4FlwKue9UEJEXY3uBkQfkBkuA6DO6c1XKshysIQD6ZV+laIqBgG3zXhH3OzJBpDQY9+pkGJY2HwTeHbnMZTABVRMQzeH9/yogJi+XnUlDkNqLw/8Osdd8Gg8iJi+XlUFBd4roQIC0N1CSWF+dSUxqhtaE25JJZ6AY8i9mFSmJ9HZXEBdU1xPlxnxYQb8DhlRBUVxQWpn7VgxRbOP2Qs8zx3BMChEwYypLKY3QaX8dGG7Tz3wXq+dsREnvTcESJw1F5DGFhWxMCyQjZtb+GxhWs46+DR3OO4J879xBhGDyhlRFUxq7c28ccXl3L21NH86pkPU2Lx8qP3YMKgcv7y8nLW1TXzsyc+4Li9h/Gdv79NSzyJCPzy7P3ZfWgFp978Eks2bueXzyxieFUxf3hxSapl+BXHTuL4fYZz7m3zWFvXxI1PLWLRum288OHGlJA7ab8RHDFpMN//5ztsa4rz62cXc9/8Fazf1pz6w3/IhAFMHlbJPa98TEs8yZ1zl3Pn3OW4jB1YyrDKYl5dtpmkgblLNjF3yabAnOJYHuVFMTbWN5M0MGfRhnbTVFdsbgyIliiWb2pg+absQaRJAytrGyObmPkYY61YYWETprE1kVFpNGpOY0Spcpf6CDdSFC3xZMAaF4UVG20/pZPG/xvT/tO8sw98FQp9m05VeozCGPMa8FpXXa+v4lsYoooy+d+4M+owOC6JcFplLCIwMmyFKExZGDJdEs3et2dfKASzJLwYBu8Pn29hKHcFQ6rGgn34VBQXpNZeUVTAtuZ4Rlql/22/qCCf8qIC6pvjGRaGAWWFqc80vKqYbU31aZeE90d/YFnaPDxmYBm1DVtSD42PvIDHUTUlqc+9x9AK5i+vZdF6G0fg12QYPaAkZdLef3Q1L3y4kTe9dEv/gTdhcBlDvADMIyYN4aMNS3lteS1bG1p58l0brnPA6GqGVNg5x+49jHte/pgXP9zIis0NPPi6tRxM220gEwbbcKALPzWOnzz2PovX13PrnCX8441VAMzcexhTRlQBcNXMyVx+3wI21jcz4+fPpWI9Pn/I2JRb4NbPHcQpv32JhpYE337wrdS/zQWHjuWrM3ZDRLj74k9y9q3z2FjfzCNvpeMZvn7kRL519B6ICPuOquaSu+azZMP2VJxHYUEe3z52El/81Hjy8oTzDxnLrIfeDgSCDiwr5NvHTeKMg0aTnyes2NzAHf9Zxn2vrkg9FHcbXMbFn57AyfuPoCSWz9urtnL//BU8sXAtG+tbKMgTDhxbw8n7jeDIyUOoKS3kvbV1vLxkMy8v3cRbK7dSVJDH3iOr+NRuAzlwbA2VxTGWbKzn7ZV1vLVyC8s3N1BUkMfuQ8rZa0QlewytoKI4xpqtjXywdhvLNjWwdmsjRQX51JQVMqSiiCEVRQyuKMIYWL5pOytrG6lripOfZy1cQyqKGVxRlBKSm7e3pF5gXWvVJYVUe6m725vjbG2MU9/cSn1znGQSqkpjVBQVUFpUQFFBHs1x68LY1tRKMmndCvl54lVszfNe9v98SzxJs1cgTRAKPEtCvtj3PBESSWuV8L9EiBA4LmLFgjHWOuG7May1wZr1RUi7DzzrQ+qvjmc2aMv475/nbwvp6woS6U7Ieq0I0WEiRE70vF6C7wfKAbmsTLvDgkFESoDBwNqoFtYiUgQMBdYbY9qW6v2QdMpkpmBIWRgS4ToMUQGN2YMeUy6JRFAwRNVhSFsYPOuBIxj8ILfGkIUhGPQYjGHwBQNAZUmMbc3xVCGkrQ3pKo8+NWUx6pvjGTEMg8vT/wmGVhazaF19hoVhZE3atz1mQCkLVmxJpVb6Fobxg8pTc3b3BMPidfUYY1i4yrok9vYezgD7jbKCYfGGejbVN/Oa598/dMLA1JwjJg/hDy8uJWngjy8uSaVvHjMlnSx0+gEjueflj4knDef+fl5KNJ1/yNjUnHM+MYZfP7OY+uY4P33ifcD+If+fYyal5py6/0jufWUFryzdnHpIjaop4f8dm56z+9AKfn7Gflx67+upP6JnHDSK7500JeXj3W1wOfde/En+398WsGDlVkZUFfPdE/YMxCtMHFLOw1/7FHfOXc7ry2sZVVPCBdPGpQSOP+feiw9h/vJaFq7aypCKYo6YPDjVkAxg9IBSrjlxLy4/eg8WrdtGTWkh4waWBvzN+46qZt9R1fzolL3Z1hynJJaf4fc/cEwNB46p4SszsleYHzeojCMnD8163FLDifu2M0VRlHbpjIXhe8A3sTEMmflmUAa8D/yvN1dxyEirDMQwZKnDEBUY6YuKqLRK3yXRZlqlFQFNIQuDG9CVDnq0YqA0Zn9dYl7ny5Z4Ml24yXNJuAGRlSUxVm1pzEirdAXDgNJCVmxuZLMnJtyiTT5+amU46NENhhs7wGZKrN7aSHM8kUqpnOAVdQLYY6h98G1rjvPumrrUdfYemRYM+3tlo42BP/9nWUpYHeIIhoPHDaCsMJ/tLQl+/ezi1PjMvdOC4aCxNUwaWsEH67alzOAjqoo5Zq/0w62yOMY3j9qd6x59LzV20fTxTBySfkCLCLecfxBfvfs15i3ZzORhFfz2vAMDLh+AE/YdzqiaT/Hi4o3sNbySGZMGZwSE7T60gocvne6V/I4OpqsojvG1IyZmjLuICAePG8DB4wa0Oa+8qIADx9S0OUdEAnEqiqL0XjojGGYCTxtjosQCxpjNIvI0cKKI/BG4GIgBvzHGrOz8UvsGbVkYMrMkPAtDfqbbojUVw+BZGJygx3AdBv+bm5syGc6SKEplUjhplSELgysmyosK2BxvadvCUOw3oLLH/LS96pJ0VkNNqp+EFQq+YBjiCAY/tXJjfTMt8WSkYBjjpVYaA68tq035j8cHBENFavvB11altqc40fxunwlfDIjApyYOSo0XFuQxffdBgVTKfUZWMXZg+meJCFccO4kv3Tk/Nfbt4yZnNL66aPp4RIQn31nLtN0G8bUjMr9NDygr5K+XHEpTa4KiguxR8/uNrs7okxFFOMpfURSlI3RGMIwDnmlnziLgROBNbIXIfYBDsWWm+zW+26Gtwk1+7FJUL4lUWmXKepA9rTLDJZEf5ZIIWhhEhBKvQ2W2oEd/e/N2pw5Dsx/0mP6VCre49t+rQhYGgNrtrRhjIi0MfvaCMba2gC92XJeEb2EA25XSx/22vvvQ9PYDr6XTEvd3HrKDK4rYY2g5i9alsyz2HlEVqEoJcMr+IwOC4eLDJhDmqL2G8utzD+DJd9YyY9IQTj0gs5aZiHDR9PFcNH18xrEw2vRKUZSepDOCIUaw0mMUfijuwcaYxSLyW+ALnfhZfY5wdkNb7a0LIoIefetDhhXCuU62tMqC/LxUil1GHQbnYVRSGBQM/rsb3+ALg7CFoTwUwwBQ12TFgJ8l4aY4uh0r6xrjKZEzOMLCAKRiCiDawgBBwbCb438fXF5EdWmMLQ2tqZTDcQNLqS4NioET9hnBonWLUvsn7TecMDP3HsY3PrM7Tyxcy7FThnLSvplzAE7ebwQn7zci8piiKMquREcqPYZZAhzezpwZwCJjjO/gbQa2RE0UkYkicquILBCRhIg8194CRKRQRH4uIi+ISKOIZA2OFZFTRORtEWkSkXdF5Oz2rt+d+GmVUXUYwvEJ/rGYa2EI9ZLwxYSIpCwIYQuDa33w54QrPbquCF8YNLZ4zaciXBJ+QaXtLbZ9dX1TdgtDXaONGPfFUk0g6NE+rBtbE4FeEAELg1Meer5T9dC1MAytKE5ZUpZ48QvlRQUMdWo0iAgHhEz2UyP88OcfMiblEhlZXcLZB4/JmCMiXH70Hsy+/DC+dcwkLSCjKEqfpzOC4Z/AQSLy7aiDInIVcCDwkDP8NPClLNebgu1wuch7dYRS73oNwH+yTRKR6cCDwL+xsRePAveKyDHZzulu/LTKqDoM4aDHlBUiwsLgiwLXzeCnYvnuitaQSwLScQzhXhKuhcF3T4SbT4VdEgD1zQma4+liMwELgxfMtr0lESik436jd039btlkN0tieFVaGLyyNG1hGOO4IfLyJLAPsNuQ8owH+VF7BSPqj94rM8J+YHkRj3x9OrecfyD/+Nq0gEVEURSlv9IZl8T/AucB14vIWcCTwCps1sSxwP7Ax9hy0gAYYx5r43r/MsY8DCAiDwCD2pjrX2+LiAwwxhgRuRRbaTKKa4A5xpjLvP1/i8gUbPbGk+39nO7Ab2AYZWHw4xvSdRgy3Q3xLFkSgG1x3ZLI2nwK0paEcLfKgIXBEwONrQmSSZN2STgZEL4loaE5HihAUxGwMKS3XetBtfMArnHEw/tr0pUXhzhWhZrSWCorw29OVVMay8gUGDuglMXr07EH+4+qIsyp+4/kDy8sZenG7ew9spLPTB6SMcf/+cftHe1mUBRF6Y90ptJjrYjMAO7GBjIeCIE6H/8BzjfG1EZeIPN6naoIadpp0efVgzgCuCx06K/An0SkyhiT2du4m/FdEm0Vbmqr0mM6S8LvVulaGDwxEIphcC0M/nZbFoa0SyKRSq2EoIWhzIlhcBtPub0f3BbXHzu9Hdwula6F4X2n9XTYlTCssjggOsLWBIADxlTzjBO/cODYzJS+sqICHvrap3hl6WYO3W1gRtaCoiiKEk2n/loaY5YZYz4FTMW2v77Ge59qjJlujFnWdUvsNLthAzTfD42/h/3ce2SckQN8l0JU86mwhSGy30Qiu0uiIzEMfvpkSzyJMSbSwuCLh8bWRLC1tSMqylIuiaCFwY1hcPPr3bK9bgyDKxje8ywMpYX5gesAgTbXYCs7hnEtAqWF+RyZxXpQVRLj6L2GZvwMRVEUJTs79RfTGPM68HoXraWr8b9ebgmN14aO5xS/YUxUHYZ4Rh2GdEBjQZ4Eyr+mq0E6Lgk/hiHkknDFgBv06DbEKYqwMDS1JgKtraODHhOpPhIQjGFw0yeXO9aBqpJoC4PfjnpoZXFG7IHb1RBgz+EVhJk4pJwfnjKFR99aw1dm7JbhslAURVE6T3/4ihV2XUiWcUTkEuASgDFjMiPju4J0pUe7H51W6R1z4hMK8oOCIZ0lkefMSVsYjDEZdRggGPTo95GAzLRKyGygE+WSSCRNqmQxQEVR+iEdtDCkXRJupcfqkhiF+XmptUKwaJPPlBGV/HPBamc/Mz4B4POHjuPzh46LPKYoiqJ0nk4LBhEZDnwGG+wY1f3CGGN+1NnrdwG+JaE6NO7vbwmfYIy5DbgNYOrUqd3SxySj0mNU4aaQhcFu5wFJJ60yWLgJnBiGuG0y40d5xCKCHpvjyVRqpTsOwRgG18IQEAzOttuSOGBhKMl0SfidKn3y8oRRNSWpVEjItCYATN99EDxut4tjeXyinbLEiqIoStfSKcEgIj8ArgqdL6S/tfvbPSkYPgJagcnA8874ZGzhqY6mcHYpyba6VSaDQY/uMT8bIlW4KZEZ9FjouCTcb+zBoEf7oG+OJ1N9JCCcVhkdw+DOcYMb1zmCocxpTFXpZEn47g/XuuAzakBpQDCMi4hPmDKiigunjeORt9bwnZmTtbyxoihKjtnhoEcROQ8b5PgCcAZWHPwZ+Czwe+zD+K9kT3XMCcaYZmz9hTNDh84G5vZEhgRkigHx2tBCOoMikcyMT/C3Uy6JUK0GSFsSWr12uD7Z0iqzWhgK0zEMja3p+ITSiLRKCAoG1yVhOxAGYxFqQlUVAUY7BZjAtpKO4tqTpzB/1lH810GjIo8riqIo3UdnLAxfAVYCxxlj4l5w2jJjzF+Bv4rIP/AKJHXkYiJSii3cBNa9USkiZ3j7jxljGkRkMfC8MeYi57yZ2M6Y+3v7/jmvGmOWe9s/Ap4TkV9iC0kd772O29EP3VWEKz2CdUskMBEWBic+wdtuK0siIBgcC0OsIMolkchqYfBdEq0JEwhoDBRuihAM+XmSKvoE6U6Em5wYh6j4BLcpFAT7PyiKoii9g84Ihn2Ae40xcWcs9SQxxswWkdnAFcC/OnC9IcDfQmP+/nhgmbfOsA36d8DYiHO+ANzhreVFT0hchxU6S4HPGmN6pGgTZFZ6TG0nogo3pc9LuySC8QluYypfGLQkTMDCUOS6LXzB0Np+DAPAJqdCY7CXRHp7XZ0tplRWmJ+R3VBVEhIMlZnxCW7r6MriAiYPq8yYoyiKovQsnW0+tcnZbwTCIesLgf/uyMW8mg1tFuI3xozryFiWcx8iWKa6RwnXWIC0eIgnDMaYjEqP4LgkEiZlXYCgS6LQKQ0dcEkELAxeHYZEGzEMjiVhk9d2GqKzJIBUu+mqiPiEilBZ5SgLw6RhFXz2k2N46I1VzDpxr4CYUhRFUXoHnREMawC3Zu7HwL6hOSOBOEoGUfEJqRgGY1J1GsJz/ODGRDIoGLK5JPy0S3ccHJdEa6JDFobN21vT44WuhSH9q+OLk6j4hBFVxSxId5JmSGVUQg385LR9+Mlp+0QeUxRFUXqezlR6fAPrlvB5Fvi0iHxORMpE5ATgv7x5SohERAZEysKQTKayIMJzfPHQmkinVkIHgx4jYhjasjAEBUPawlBckB53Cy75RDVpGhvKeIgq6awoiqL0fjojGB4BpojIeG//BmArNm6gDtvNUoBZXbHAvoYfp5AXIRgSybQ7AsIWhnQMQ2vSdUlEWRgMLYm09SBKMNi0Sjdl0s2SSG/7RZlKYvmBNZfE8gNWCYi2MIwdGOogOVgDGhVFUXZFdlgwGGPuMMaUGmOWevsrgIOxQYhPYgsfHWyMmdelK+0jpCs9ZloPEk4lRwhbIbwsiaQJuBvcwk2FBXa7JZGkJe66JNw59jrGwPaWtNeoqCCzDgOkyzWH6x6ISIaVIarGwt5ORcbiWB7DI4oyKYqiKL2fLikN7YmHS7viWn0Z48QouN/W/QDIeNKQSERbGGKpoMdkKrXSzsm0MMRDaZVFEUGPAHWN6fgE18Lg1lvYuM26JKIaNdWUFrJma7oGQ3WES2LvkZUcMmEA85Zs5utH7p6RRaEoiqLsGvSHXhK9hvbcDcmwhcFxN+Q7hZsCAY0FWVwSgcJNaZFQ5AiDuqZoC4Mbw+DPqSjO/FXJtDBkuiREhLu/dAgb65sZGpFSqSiKouwatCsYRKTTXZiMMR939ty+iF+DAULuBtfC4AoGyQxojCeSgSyJWF7mnJbwnAI39dIRDI6FwbVClEaUXY60MIQEQzZBkJ8nKhYURVF2cTpiYVhGRGfHDmA6eP1+gxOrGFmHIWlMIEsiKvUykTShLIksvSSylYZ2LAxbPcFQmJ8XcJFURrSFjrIwDAwJhqimUYqiKErfoCMP9DvpnGBQQrQnBuIJExAV+QHrgS8GTCA+ISqt0hgCXSYDzafyXXeDFQyuiIBgx0mfiggRMTqUIqkBjYqiKH2XdgWDMebCHKyjXxCwMGSzHiSjxYAf3GgtDNFln914hgYnAyKq+RRAXaOd42ZF+OspLyqgvjl9jSiXxIRBwRoL6nZQFEXpu3SmDoPSSQIxDE6yQEowmFAMgysqfAtDMljFMaoOAxB42AfqMASCHj0LQ0Hmr0FlyMoQZXXYZ1RVylJy6ISBWtJZURSlD6OCIYck2smACNdhiEqrDJeGjkX0kgDYnk0wONkQtU5RpjBhF0RUDMOg8iKuP30fjt5rKLNO3DPjuKIoitJ32OGgRBG5vYNTjduOWiFrBkRBlkqPbvOpVOGmRFgwRFsYtjsxDO64mwHhp0yWRrgbKkuCYxURcwDOnDqaM6eOjjymKIqi9B06k8VwYTvHDbY0tAFUMDgE0yrT427hpmClx/ScWKo0dNAlURhRhwHSFgaRoKUiKmWytAMWhoHl0U2jFEVRlP5BZwTD+Czj1dgS0dcA/wGu6uSa+ixJRwy4aZVu4aZEoPlUROGmcHtr121RkCkYCvPzAtUV3SqOPmVFmYIhHMMQTqFUFEVR+hc7LBiMMcuzHFoOLBCR2cBbwNPAH3dibX2OQKVHJ94gYGHIVho60Lo6i0siz41hsC4JN0MCoDRCHJREiIjBFUGLwsByFQyKoij9mS4PevSaUf0L+EZXX3tXJ57NwuAUbspaDTIQ9NgBl4SXVlkYyoCIcj+URbgpRlSXBPYHlqlLQlEUpT/TXVkS64Ddu+nauyzJdsRAPNF+e+vWjCyJ6DoMflplWDAU5OdljIU7UQIMrwoKhqhOlIqiKEr/ocsFg4jkA0cCW7v62rs62bIksqVVuqKiIEtaZbDSY3q7wXNJxPIz/4nDFoWyCJfEeKcoU0VxgXaZVBRF6ed0Jq3ysDauNRr4ArA/8IfOL6tvkq0oU6qKowm3t87LnJMMloYuDPSSyLQwRBVlKi0soLYh3XgqysKwx9ByDh5Xw6vLavn+SVM68OkURVGUvkxnsiSeo+3eEgLMAa7ozIL6MtkEQ14HLAyu9aApS42FqEqP4bLPkJkVERXDICLce/EhbN7ewhAt+awoitLv6Yxg+CHRgiEJ1AKvGGNe2alV9VHcgMa8LO6GrKWhHWtDY6sVDHkSFhWZ1oTiWOZYOCsiKtUSbLyDigVFURQFOpdWeW03rKNfkMwS0OhnTISbT2WzMPiCoSAkEAoLMuMMIi0MIYtCuKqjoiiKooTRXhI5JN6B0tBuJkVUC2xIt64O11iIsjC4vSN8whaFyhLNgFAURVHaptNfLUWkHDgNOACowmZFvAH8wxhT3zXL61sEKj1GxDCECzcFAiMdMdDU6mdABC0KHXVJVIUEQnWJFmVSFEVR2qZTgkFEzgRuwZaDdp9aBviliHzZGPPAzi+vb5GtKFPawpDMWg3StTY0tkS7JKIFQ6aFYVCoamOV1lhQFEVR2qEzaZVHA/digxzvxGZNrAWGAUcAnwXuFZEtxpinu26puz7ZMiB2pA4DZHdJhPchOq0yXOa5Wl0SiqIoSjt0xsLwPaAZ+LQx5vXQsT+LyM3YtMrvYftJKB7JDhRuClZ6dOowuGmVWVwS4QqOEG1hCJd5jupgqSiKoigunQl6PAC4L0IsAGCMmQ/cDxy4Mwvri2Qv3OQJBhOs4hgMjMxMqwy7IIpjeYQLMkbFMAwKNZbSKo6KoihKe3RGMDQDa9qZs9qbpzhk6yWRl83CkC2GIUtapYhQErIoFEdkSew1vDK1/endB+3QZ1AURVH6J50RDC8A09uZ8ymsW0Jx6EifiHg2weCIg8ZUDEOmZSDsXohySQyuKOLbx03iE+MGcNXMyTv6MRRFUZR+SGdiGK4E5orIDcCPjDHb/QMiUgZ8H9gbmNY1S+w7uNYDt721v5000BJ3OlEGeklkZklEZUWE+0JEuSQAvjpjIl+dMXFHlq8oiqL0YzorGN7C9oq4RERex7azHoqNW6jCWheuDPnGjTHmop1b7q5NNpeEKwaaPcGQJ6Hy0W4nyiwxDAClseA/aVGEhUFRFEVRdpTOCIYLne1qbCvrMId7LxcD9GvB4MQzBqs4RmRAZJR9dvZ93VEQ4ZIIWxg0A0JRFEXpCjojGMZ3+Sr6CQmnT4RrPXCzIXwLgysoIDplMqruQlggVBRrjQVFURRl5+lM86nl3bGQ/oBrYYiqwwDQHPcsDCHBENUTItIlERIM5UVqYVAURVF2Hm0+lUOC7a3T4/kRMQxhMRBlYYhFjIVbV5cXqYVBURRF2Xl2pvnUIcCXsIWcqrHNp14D/mSM+U+XrK6PkXBMDAVZMiCaUzEMYQtDhGDIi0irDAU5lhdr62pFURRl5+ls86nrgO8QbDwFsD/wRRH5qTHmuzu5tj6H04gy4JJw4xmaWv0YhqBAiBIMURkQpSEXRHmhCgZFURRl59lhl4TXqfK7wMdYC8MEoMR7/5I3fqWInNWF6+wTBNtbp8cLImIYwn0iomIYokTEgNJgY6kyjWFQFEVRuoDOxDB8HVt34WBjzO3GmGXGmGbv/XbgYGAD8LWuXGhfwI1hcC0IbhEn38KQ34EsiaIO9IkIp2cqiqIoSmfozNNkP+ABY8zGqIPe+N+w7gnFIZHNwpAfZWFoP+gxyuowqLwoY0xRFEVRdpbOCIYCoKGdOQ3sREBlXyWRtb11+p8hVYch5JLIz5OIVMsIC0N52iURtlIoiqIoSmfpjGBYDJwoIpHneuPHAx915GIiMlFEbhWRBSKSEJHnOnhelYj8SURqRWSriNwtIgNDc+4QERPx6pGOS9naWwcKN2UJeoRMgRAlGPYcXsmAMisaLjty951bsKIoiqJ4dMYKcC/wE+BhEfmWMeZD/4CI7Ab8HNgLuLqD15uCFRjzgMJ25rrcB0zCBlomgZ8CDwGfDs17H/hCaGzZDvycLsMXDHliW1H7uOKhKUvQI1i3xHav8RREZ0kUx/K55+JPsnBVHSfvN6LL1q4oiqL0bzojGG4EjgNOAGaKyGpgDTAMGIm1WrzozesI/zLGPAwgIg8Ag9o7QUQOBY4FDjfGzPHGVgEvi8hRxpinnenbjTHzOriWbsUPegy7CgKFm9q0MOQDrc5+tIFo8rBKJg+r3NnlKoqiKEqKHXZJGGNagKOxFoSlwChsZsRob/9q4DPevI5cL9n+rAxmAut8seBd5xXv58/sxPVyQjJlYQgKhoIIC0NUY6lw4GM2waAoiqIoXU2nnjjGmFZjzPXGmN2BSqxYqDTG7O6Nt7ZziZ1lMtbVEOY975jLXiJSJyLNIvKiiIS7aOYM3yURtjC4hZtSnSgjAhYzYxi0xoKiKIqSG3amNHQ5cBq2NHQVsFVEXgceMsbUd9H6slEDbIkYr8UWkPJ5A3gZeBcYDPwP8JSITPcsEjklnkUwRImDqPoJYQtDcUQdBkVRFEXpDjpbGvpM4BZsDwn3aWeALSLyZWPMAzu/vDYxEWPijhtjfhU4KPIoVjx8Fzg142SRS4BLAMaMGdOFS7UkOxDD4BMV9KgWBkVRFKWn6Exp6KOxmRIVwJ3YDISZ3vtd3vi9InJUF64zTC1WrISpJtryAIAxphF4DDgwy/HbjDFTjTFTBw8evPOrDJFySUj7giEq6DEjhkEtDIqiKEqO6IyF4XtAM/BpY8zroWN/FpGbgTnevKfDJ3cR75OZPgk2fuGhDpwfZZ3odrJZGMJVHSE66DFsUdCgR0VRFCVXdOaJcwBwX4RYAMAYMx+4nyzf4ruIx4FhIjLdHxCRqdj4hceznSQiJVhryGvduLasxBPZBEOUhSFzrCRUd6FMO1EqiqIoOaIzT5xmbN2FtljtzWsXESnFFm4CW8ehUkTO8PYfM8Y0iMhi4HljzEUAxpi5IjIbuFNE/h/pwk0v+jUYRKQKeAT4C7Y65SDgcu9n9EgnTb8OQzitMspSEBX0WF5c0Oa+oiiKonQXnXnivABMb2fOp7BuiY4wBNusysXfH4+tylgAhCP8zgFuAm7HWkoeAS5zjjdju2bO8n5GEzAXW+xpfgfX1qUks2RJRLkkYhEWhvKigjb3FUVRFKW76MwT50pgrojcAPzIGLPdPyAiZcD3gb2BaR25mDFmGcFMi6g54yLGtmADLcNln/3jTcDpHVlDrvDTKsPuhugYhsyxCseikCcaw6AoiqLkjs4KhreAK4BLvNoL64Ch2LiFKqx14UoJmt6N71Lor/hBj3mdDHp0LQp5IoTur6IoiqJ0G50RDBc629XAkRFzDvdeLgbo14IhW1plYaRLou0Yhh5J81AURVH6LZ0RDOO7fBX9hITXNSMjhqEgqtJj5lhFcSy1HVW7QVEURVG6ix0WDMaY5d2xkP5AImkVQ/hhH2VhCBdpAhhWWZzaLoo4R1EURVG6C33q5BCvDENGDEN+nhAOR4gSEROHlOOf+l8HjeqOJSqKoihKJJqXl0NSFoaQOBARYvl5tMTTnb6jMiAGlBVy/en78OqyWr4yY7duXauiKIqiuKhgyCF+pcfITpQhwRDlkgA4++AxnH1w1zfGUhRFUZS2UJdEDvGzJKJKQYfHsgkGRVEURekJ9KmUQ1pTlR4j0ihDVofCfG1drSiKovQeVDDkED+GIarsc4ZgUAuDoiiK0ovQp1IOydatEjKDHFUwKIqiKL0JfSrlkHgqhqEjLgn9p1EURVF6D/pUyiHxRHThJsis9qgWBkVRFKU3oU+lHJLqVhmZJRH8p9BOlIqiKEpvQp9KOSRVh0GDHhVFUZRdDH0q5ZB4G2mV4ZgFjWFQFEVRehP6VMohcT+tMsIlEbYoqIVBURRF6U3oUymHJNpIqywpDBZqKo5p4SZFURSl96CCIYe0piwMmbe9LCQYSgtVMCiKoii9BxUMOSSRzG5hKC1M9wHLE82SUBRFUXoX+lTKIanCTRGCoawobVEoLSxAJHOOoiiKovQUKhhyRCJpMFYvRGZJuBaGqDoNiqIoitKTqGDIEX6GBEQLAo1ZUBRFUXozKhhyhF+0CaILN5U5FgZFURRF6W2oYMgRfvwCQEFElkR5seOSiBAUiqIoitKTqGDIEX7jKYgWBMOrilPbCUdcKIqiKEpvQAVDjnBFQFRa5YRB5fjDX/r0hFwtS1EURVE6hDrOc0SrIxiiSkNXlca4+bMH8uG6ei6aPj6XS1MURVGUdlHBkCMSCdfCEG3YOX6f4bBPrlakKIqiKB1HXRI5otVJq8ywMCz4Kyx8MMcrUhRFUZSOoxaGHJE1huGDJ+AfX7bbxVUw8agcr0xRFEVR2kctDDkiWIfBue0fPpneXuRsK4qiKEovQgVDjghUenQtDLXL0tubFuduQYqiKIqyA6hgyBGtroXBjWGoXZrerludwxUpiqIoSsdRwZAjWuJpC0Oh27q6fr2zvTaHK1IURVGUjqOCIUe0OJUei3zBEG+Blvr0pMZaiDfneGWKoiiK0j4qGHJEwMKQ73WmbKzNnOhaHFwWPgiv30WqR7aiKIqi5BBNq8wRrYkIl0Tj5syJTVuA0cGxDx6HB75ot2MlsM8Z3bJGRVEURcmGWhhyhGthSBVuirIwNG7JHFs0O739weNduzBFURRF6QAqGHJEZNBjQzYLQ4j176a3N3zQtQtTFEVRlA6ggiFHNHfYJbE1c2zzkvT2luUax6AoiqLkHBUMOcK1MBT5QY9NdZkTwy6JRBy2b0zvN9dFuzIAkkmbeaEoiqIoXYwKhhwRGfTYsj1zYtgl0bARCFkU6tdlnle3Gn65N/zvRFj3zk6tVVEURVHC9LhgEJGJInKriCwQkYSIPNfB86pE5E8iUisiW0XkbhEZGDHvFBF5W0SaRORdETm7yz9EB4iMYWj1BEN+ERRX2+2whSEqzXL7hsyxV/8IdausS2Pu/+30ehVFURTFpccFAzAFOB5Y5L06yn3ADOBLwIXAwcBD7gQRmQ48CPwbmAk8CtwrIsfs5Jp3GF8w5InTrdK3MBSW2U6VkBnD0FHBsOq19PaKeTu5WkVRFEUJ0hvqMPzLGPMwgIg8AAxq7wQRORQ4FjjcGDPHG1sFvCwiRxljnvamXgPMMcZc5u3/W0SmAN8Dctoa0q/0GCgLnRIM5VBU4Y3VB0/cHiUYNmaOrX07vb15KSRaIT+2EytWFEVRlDQ9bmEwxiTbn5XBTGCdLxa867wCLPWOISJFwBHA/aFz/wocKiJVnVtx5/AtDIX5rmDwxEFhWVowNG8LnhiVehm2MCRavVgHD5OA2uWZ57U2woNfgrtOh23at0JRFEXpOD0uGDrJZOD9iPH3vGMAuwGxiHnvYT/3Ht22uhBvPHkXe7xyNT8tuI2Swvz0gZYG+15YZq0MkGlhaHYyKUoG2PewmyJKVLipmD7zb4e3/wYfPQPPXrdjH0JRFEXp1+yqgqEG2BIxXusdw3kPz6sNHe92mpbN57MF/+aM/OcpjbmCwXdJlEKRJxjCFgY/9bKoEsqH2O1w/YaGCBfFtjWZY26VyMVPaz0HRVEUpcPsqoIBMnINAZCI8fC+ZDtfRC4RkfkiMn/DhojAwk6SV1QKQL4YCiWePuDGMPgWhuYsFoaiynRgZDiTomFT5g8Np14aA+sWpve3rYkWFQBvPwAv32pdHYqiKIpC7wh67Ay1wOCI8WrSFoVaZyw8ByIsFMaY24DbAKZOndplX7/zi8pS27FkY/pAVAxD2CXhZ00UV6ZTL8OZFFFBkGExsH1jZsGnjYugckRw7L1H4MGL7PbWlXDMjzKvrSiKovQ7dlULw/ukYxVc3NiGj4DWiHmTgSQ7lsK5UxQUl6e2Y4mm9AE3rdKNYUg6caC+OCiqhJJqb2xL8Ae4FoZSrxTFtpCFYWNED4oNEbfgtTvS2wvuDa5FURRF6bfsqoLhcWCYV2cBABGZCkzwjmGMacbWXzgzdO7ZwFxjTETThu4hVpIWDMXGEQytftBjeTqGAdIFnSDtknAtDI2hpbuCYche9j1sYdiyInNhtcuC+8kkrHg5vb99A2x4L/O8hs3wp+PhV/vByvmZxxVFUZQ+R48LBhEpFZEzROQMYCQw2N8XkVJvzmIR+aN/jjFmLjAbuFNETheRU4G7gRedGgwAPwJmiMgvRWSGiPwMWyTqhzn6eACUllWmtkeUed/Yk8m0hSFWmrYwQDCOwQ169C0MzVshmUjP8QVDcRVUjbLb4RgGV0BUDLfvdSuDc2qXBrMyANa8lfmB5vwclr9kBcc/v67Bk4qiKP2AHhcMwBDgb97rEGAvZ99LC6AAyA+ddw7wPHA7cCfwGnCaO8EY8yJwBnAUVmCcDHzWGJPTok0jh6QrVp93gFeXKt5IKu6ysMwKAh83jiFgYXBKR7hxDH4MQ+nAdCZF/frgg9yvu1BUCYMn2e2tIcHgBkX6rA0JBmPg3YfT++vfhQ0RGa4Nm229h99NhyXPZx5XFEVRdil6POjRGLOMdOZCtjnjIsa2AF/wXm2d+xChktG5prCkIrV94PAiu+E2niosC7ok/NRKY9IWhuKqtEsCbBxDqVeXwbcwlA6C8qF2O9lqgxz9Ob6FoWIYVHpWiK2rggt1XRRVY2Drx7Dxw+CczUtszwqXZS/CkD2DY09fa+s9APz9Evjm21BQSAbr37NrG/dprUypKIrSi+kNFoa+T6w0ve3HLQQEQ3nQJeFbGFob7YMfgi4JCFoYUoJhIJQNSY+7FSF9C0PFsKDbwm2HveVj72dVwYj97fbmj4KfZdXrmZ9v5avB/XgzvPOP9H79Wlv3Icx7j8DvpsFdp9nMjGyujXhzdHEqRVEUJWeoYMgFsZL0dkuUYMhiYXDjCdygRwjWYvAFQ5njkoBgHENKMAyHqpHeoAlaC/zAyOoxMHA3b+zjYD2GVLaFWKsABBtfgY1vCMdCfDg7uJ9MwlPXgF8Z/N2H4eOIplkr58ONe8HPxsPsqzOP+zTV2bVqPIWiKEq3oIIhFxSm6zCkMiACgqEUCtNui1TQY5Pz0C2qClkYtth3Y6JjGCBdQtqYkEtiZHpO3er0tm9hqB4DAybY7WQctjoZFhs8wVAzFsZOs9ubFgfX6mZODN/Pvi97kQAr5mWWr379zuB+Ig4PfTVdyXLuzbD4GTJY/IwVFb/cB+7/fHTBKWNgyXPw2p+hvuuKcimKovQXVDDkAtclkbIwOIGN4bTKlmwWBifo0bcwNG9Luy3cGAZIC4aGzek5FcPTLglIWxiMcQTD6LRgANjkPNg3erUbBk1KiwEIBkz6bouacbDnyd41FkOdk6mx5Ln09uhP2vdFTwSzPz56JrN+xIs3BffjzVZU+PfsvX9aYRHmyVlw5ynwr8vg/z4ZXYNiy8fw1/Pgd5+ymSCJeOYcY6z4efOezKDR8DzX3aMoirKLo4IhFwQsDFlcElFplW6cQlFlZtAjBPtIlA60c/K8WFa/NXYgpTJkYfAfeg2b09YP18IA6TiGRBw2eduD9wgKhjUL7LsxsNoTDCMPgnHT03M+/k962xcMQ/eGAz5ntxs3w4pX0nPefsC+F5TAQRfa7WUvBIMz337Axki4zPlF8N4tfiYoIho2wQNfCAqClu1w91nw/iNW/Dx7XWbKaEsD3HsO3HECPPQV+PUB8OofCWAMzLsFfjEJrhsMvz8y2tWy/D/w4MVwx4nW1RLVXbSpDl75PTz1PXjj7syS4P6aPnwK3rwXlr2UvZx38zZY8aq16mQrxpX0upw21UUf9z9f87b2C3qpa0hR+hw9niXRL8jLh/wiSDSnhYIvHMATDGWkWmH41oewhaGwzIqBZDz98HCDAcsGQV6eDXzctjptYXAfqOVDrTWjuMo+VH0LwxbngVU9BsqH2Qd1vDHtOqhdmrZUDJpkhUfJAPug9wVD3ep07MSIA2HEAenPvnwu7P1f9oHkuy3GHw57HJv+7IuegLGH2gfh+4/aOZOOg09ckq5C+db9cPi37UPJFwIVw2Hmz+D+z1lrw/w/wfRvWlHgxz4UlsPEz9h4iXUL4eVbYNql9jqPXJ5ZpGrBPTBgvP1Zibi9thu8mWiBR79l78tRP7T35uFL4W2no/qq1+D24+CwK+DwK+2/++zvwBt/Sc9Z9gK8+geYfjkceqn9d3nlNttd1P0deKISpn4B9j7D/o68dR8s/HtwTulA2PMk2O1IKx5WvWbFydq30vEiRZU2qHXkQXb+psWw9m1Y966X7ov9HRo8yWa/FFXY+JbNH3nup60g+basePVY656Kldp/97pVVoTWr7fnlQ2yv0sVQ6Gg2P6+bt/glSrfbM8rqbHZPCU1kF9oxXDTVvtq3mbPK6621ysstXOat9l5rY3238EY+/8srwDyYvY9v8D+XiVarCUqGbdzJM+u39/Oy7diKZmwc0S84848xN4/k/De8ebleS9Jz8FkCib/eGrbwRhSKdbuef71keD5HSJCsEWKuI7Oa2N+j7Mj96UPMmh3OP22nPwoFQy5orAUGpsdC0PIJSFi31u2ZYlhqLRziqutVcG3MGwPWRgAygeHBIPTDtt3WVSO9ASDF8PguyPACoa8PGtlWP9OWjBscNwDgyfZ9QzfD5b8Oy0YfOsCwMgDoaDIPpg+/g98PNeOL/+P/cMLMGGGjbsYeRCsmm8Fw9E/gMVPpS0ee/8XDJ0CQ/eBdW/bktWHXWFdFuvftXM++WWYfCIM3tM++Of9zo69/be0EPj0/8ChX4O1C+3D798/sQ/XxU/bhy/A+MPg9D/A7cdYS8a/f2xdK0vnpMXC+MPg4Ivh0f+xVpz//AbWvWPFoF8ps2q0FUKv32XF0pyf2cyRpq1py09BCQycaD9TvAmeux6e/1n6oROmuQ5e+pV9ZaNhkxVWbonvqOssnWNf2di+3r6WvRB93CRsbMvWFbD8xeg5zXX2FdVq3aelPn0/2sKNo1EUJU0yi1WxG1DBkCtiZbYuQqv3Dc51SfgxDkUVnmDw/PGuWd2PXyipsYIhZWGI6CPhiwL/m35AMHhBkZUj7cPWd0mEBQPYb9fr30m7Idx4gkF72HdfMGz4wH621W96EwSG7Ws3xx5qBcO6d+y6fXdEXkE6cHLScVYwbHgfNi+F9/6Vvm8Tj7Lb+58Ls9+2D6Clc+yD2p9z0IVW5HzqG/DQf1urygu/sLEG/uc95KtWwJx4E9x5shUkfzo+bYGpGA7/dbsVXJ+9H/5wtK2q+feL05972L5wzr3WSjN8X/jLGbDpQ/jo2fSc0YfAOXfbb9dTL4IHvmhFyyanpsWEGXDSr+238+Vz4fEr7Ld8X0gBjDnUfp6JR1m3yku/TIsusN9+dz8G9v+stQSsnA8LH7T31/8jkldgrTxjDrXvjbWw+g0bZ7LhPStOiiqta2jYPtbV1FRnY1XWv2ff40323gyYYAVO9Rj7O7p1pRVVW5bbOWVDbAZO1Sj7O9hcb60J29Zat1iiFUproGywfZXUWAHdsNn+rjdstuKqpMarO1Jl/0/Em+3vTUu9fcVb0llDsRJbv0Py0haCZKvdTrQCxlq4CgrtvTBJe8wkrFvFtxj4loS8fPsNOzAvYa8jjkUC0vP8FyaLRcC1OGT7hi6O5UGcc/yf4VshduDbdNiSkbp2J+e1Ob+HUNeX/UKTI1Qw5IpCTxT4QiGbYNhGRNCjpGMcSmrsu995MhzDAOlaDH4dBl8wuCWo/dRK3yXhf4MrrEjHSqRSK5dbk7xfxKl8aDpjw49jMAlr0l7zpt0ftEc6kHPMNOAXgLHfwJd6lR9HTk3P2WOmjRsAG7i4yEvD3OOYdFrqfufC0z+wD5UHL0p/vgM/n74v+5xpv4FveM8GLvrMuApixXZ7wuE2buKNu9LlsfML4cw/W7EA1oJy5p/gnrPTD9/Bk62Q8NdcMw4uetLGQyx5zj6QDrwAjv1J+mcN3Qsu+Te8cKO1iBSW2wf8PmdZgQNWUF0yBxY9bq0vsVKYNNNaaHwmHWdfGz+0oiw/BmMOsTEpPoN2t6Kqqc66DvLy7b+Dm9br0rIdWpusOyDbQyDpPQj9h6SiKP0WFQy5wv+jHQ56jJWmHxx+i2vfFeH2kfDnZAgGz8KQX5g+3y0PnUymLQ1lg9MPBr/aY8MmaxlwUyr9OQM8wZCM26qPvkvCty5AKPDxjbSFwS/8BDD6E/abl0na+AHfjTDh8PScoVPsmupW2iA/nz1PSm+XDoB9zoA3706LhbwYTPt6ek5+ARz/M7jzVMftcQTsfz4BTviFXc+Ce60AOunXMOaTwTkTPwP//YJdc9lg2O+cYACrv6bPPWTvsdum3CVWAkdebV/ZyMuDySfYV1sM2t2+2qK4Mig2spGKnWkD//dOUZR+jwqGXBHz/jCHCze5f7CLvX4S4cJN/jg4gmGLfd/uVHn0H/S+YDAJKyx8H7Gbclk5Ir1dtzqYUukTTq30LQyuYKgZb60SLdvggyfSFg9XSBR7Ju+1b9mHvc94RzCIWDHw0i/TY2WDbVyCy5HXwAeP24A5gBlXOoWo/OseBp/7u63rUD3Wxi6EH3wFRXDq/8FJv7KWgWzfsIfsmVn2OoxI8Ju+oihKH0QFQ67wXRLhwk2uYPC/naYEw7bgOGS3MJQOSs8JV3v0XRLuuPuQ3boyWOXRx3dJgA1s810lfvMqsA/i4fva6o6Ln0qPjwh9wx336WAjq7LB6foLPodeaoP1/IDOw66wD3aXyuFw8TM2U2LQHjDlNCKZMMO+2kP7VyiKonQItTfmCj9Owbcw+K6JWBuCwQ96LIqwMLRss0Fd/jd6v8kUBPtJ1K9LuyRcweC7JMC6CHwxUOVYGPzUSrDWA5+wSdy1JoD9rCMPCo4d+Png/gHne2lvDuWD4YuzbQrlKb+171EMmGBjEvY+vXcFYCmKovRhVDDkCt+SEE6rDFgYfJdEXfA9yiUB1i2R6iPhWhgc10PdqrQ1IptLYrlTUMm1MOTl2ah4CNYoGDIl8NEYvn9wf9z0zM6UQybDMdfZz7jbkTD9W0QyZDIc/3MrKFQMKIqi9BrUJZErfAtDSjB4776rAtIWhpZ6m8qVcklkEwy1wRgGHz/SH2zmgk+ZM17oFcxprA0JBsfCADBqqq0T4FM12hbhcZl0nO110exZRA68gEimfd26HVQIKIqi7HKohSFXFIZcEqkYBqcktCsMWurTWRLZLAzb16cf0q5gKK62WRMQjBtwXRLgZEo4qZm+RcEnHGcw6mAyKK6Cs/5s4xSOurbtSH8VC4qiKLskamHIFb6FId5oUx1btwfHIRjc2Lwt7ZKICnoEm2vv4woGERvHULfSFunxqQxlEwzcLWg9qBgRbHAFNrUwv9CW14VgmqPLbkfYl6IoitInUQtDrnCFQWtD21kSYOsM+A/pgEuiOr3tpzlC0N0AaWuCW4K6KuRuGL5vcH/I5Mx1lw+BI2d5VQWPTXefVBRFUfoVamHIFeGOlakYhoigR4Ctq9Lb7rd+18Lg9nbIJhh8CkqCgZGQmd0w6hPRa//UN+CTX8kMZFQURVH6DWphyBWuhaGlPu2SiCrcBOmSzRAUEsVVpOq8b1yUHg8LhPB+1ajM+IEx04LX9ns2RKFiQVEUpV+jgiFXuNkQfmYDZI9h8JtCQVBI5OWnLQ5uS+qw9aA8lMlQMzZ6Tcf/PN2YadTUtj+DoiiK0m9Rl0SucAs0+X0QIHsMQ8DCEOpPUD40XQ0RbD8Fv2GUz6BJwf0he0Wva79z7EtRFEVR2kAtDLkiYGHogGDYmsUlAcGiSxBsKuUTbj4UjldQFEVRlB1ABUOuiHVAMLg1GQIuiVCqYzg9MhyvALZ8st8kqqDEVldUFEVRlE6iLolckU0wuK6KvPx058c6RzC4fSIg08IQFZ8gAmf8CV65DfY6JfMaiqIoirIDqGDIFR1xSYBNm/QbQYEtmuRaHiBTMFRHCAaAYXvDyb/e8bUqiqIoSgh1SeQK15Lgt5uGoJCAzGyH0oGZ8Qlu22mAAeN3fn2KoiiK0gYqGHJFwMLg9G6IhSwM4QJMbslnn3B3yBEH7NTSFEVRFKU9VDDkioJiUgWX6temx8Mpk2HB4FZ29CmuhD1m2u2he8OwfTPnKIqiKEoXojEMuULExiu01NuW0j7hDIjyDlgYAM64HT58EsYfZoMlFUVRFKUbUcGQS2KlwWZQ+YUQKw7OCVsYwimUPoWlMOXULl2eoiiKomRDXRK5JBzgGLYugG1L7VI1qvvWoyiKoigdRAVDLglXbAzvQ2YGhAoGRVEUpReggiGXhIsnFUcIhsGhHhBDp3TfehRFURSlg6hgyCUlYcEQ4ZIoLIPdPmO3B+1hSzwriqIoSg+jQY+5JJwiGeWSADjjj/DuP2G3IzKLNimKoihKD6CCIZeEXRLZ+juU1MBBF3T/ehRFURSlg6hLIpeEXRLlQ3tmHYqiKIqyg6hgyCVhi0K45oKiKIqi9FJUMOSSsEWhfEj0PEVRFEXpZahgyCUDJwb3q0b3zDoURVEUZQdRwZBLwmWeB+3RM+tQFEVRlB1EBUMuycuDQy+12/ufD0XlPbseRVEURekgPS4YRGQvEXlGRBpEZLWI/FBE2m2/KCJTRORJ77yNIvI7ESkPzblDREzEa3L3faJ2OOY6+OZCOOlXPbYERVEURdlRerQOg4jUAE8D7wKnALsBv8AKmVltnFcFPAssAs4GBgI/A4YDp4amvw98ITS2bKcX31lEoFpjFxRFUZRdi54u3PTfQAlwujGmDnhKRCqBa0XkZ95YFF/1zjvJGLMFQEQ2Aw+LyFRjzHxn7nZjzLzu+wiKoiiK0vfpaZfETGB2SBj8FSsGDm/jvP2B+b5Y8HgSMMAJXbxGRVEURen39LRgmIx1GaQwxnwMNHjHslEMtITG4kAS2DM0vpeI1IlIs4i8KCJtCRFFURRFUSLoacFQA2yJGK/1jmVjMbCfiMScsYOAfMAtp/gG8D/AScB53vGnROQTO7FmRVEURel39LRgAOtGCCNZxn1+DwwGfiMiw0RkCvB/QMJ72Qsb8ytjzO+MMc8bYx4AjgRWAd+NuqiIXCIi80Vk/oYNGzr5cRRFURSl79HTgqEWqI4YryLa8gCAMeZ94BLgXGAN8BbwCvAmsK6N8xqBx4ADsxy/zRgz1RgzdfBg7fOgKIqiKD49nSXxPqFYBREZDZQRim0IY4y5XUTuAXYH1gMbgU3AHzrwc9uyXiiKoiiKEqKnLQyPA8eKSIUzdjbQCDzf3snGmCZjzNvGmHXA+djPc3+2+SJSgs3MeG2nVq0oiqIo/YyetjDcAlwG/F1EfgpMAK4FbnRTLUVkMfC8MeYib78SuBqYg82OOAIb3HixMWazN6cKeAT4CzZIchBwOTASOCsXH05RFEVR+go9KhiMMbUi8hngZuBf2LiFm7CiwaUAm+HgkwAOAC7G1mxYCJxpjHnImdMMbMBWjBwCNAFzgcNDhZ0URVEURWmHnrYwYIx5F5u90NaccaH97cAx7ZzTBJy+s+tTFEVRFKXnYxgURVEURdkFEGM0YSAKEdkALO/iyw7CZnMonUfv4c6j93Dn0Xu48+g97Bq6+j6ONcZE1hVQwZBDRGS+MWZqT69jV0bv4c6j93Dn0Xu48+g97BpyeR/VJaEoiqIoSruoYFAURVEUpV1UMOSW23p6AX0AvYc7j97DnUfv4c6j97BryNl91BgGRVEURVHaRS0MiqIoiqK0iwqGbkZE9hKRZ0SkQURWi8gPRSS//TP7PiJypoj8U0RWiUi9iLwmIueG5oiIfFdEVohIo4jMEZH9I66l9xkQkZHevTQiUu6M631sAxEpEJGrRORDEWkWkZUiclNojt7DNhCRc0Tkde/3b5WI3CkiI0Jz9B56iMhEEblVRBaISEJEnouY02X3q6PXahNjjL666QXUAKuBp4Gjgf8GtgPX9fTaesMLW6r7HmxvjyOB/8V2Ev26M+c72GZklwJHYduTbwSG6X2OvKf3AGu9+1iu97HD9+0u77N/GTgc28zuJ6E5eg+z37+Tvd+5m4HPePdvGfA6kKf3MPKenQKsAP4GvAc8FzGny+5XR67V7pp7+qb15Zf3D1QLVDpj3wYa3LH++gIGRYzdAyz1touBrcD3nONl2B4h1zljep/tZ/40sBn4fziCQe9ju/ftOKAV2KuNOXoP276HfwVeC435ImJPvYeR98wVUg+EBUNX3q+OXqu9l7okupeZwGzjdN7E/scqwX6L6dcYY6Kqk72BbRYGMA2oxGlZbmwfkX9h761Pv7/PnvnxN8APyaz6pvexbb4IPGtsX5ts6D1smxj2geSyxXsX713voYMxJtnOlK68Xx29VpuoYOheJgPvuwPGmI+xym9yj6yo9zMN8P9wT8Z2Jv0wNOc9gvdP77M1QxYDv404pvexbT4JLBKRm0WkzvMD/z3kf9d72Da3A58Wkc+LSKWI7AFcB/zbEWJ6D3eMrrxfHb1Wm6hg6F5qSKtsl1rvmOIgttX5KaQfejVAvTEmEZpaC5SKSKEzb0vEJfvFfRaRgcCPgG8ZY1ojpuh9bJthwIXA/sA5wBeAg4B/iIj/7VjvYRsYYx7F3sPbsJaGD4B8gh2D9R7uGF15vzp6rTbp8fbW/YCoQheSZbzfIiLjsPELDxtj7nAOZbt/4WP9+T7/GHjZGPNYG3P0PmZHvNcpxphNACKyBngeG4z7jDdP72EWROQI4BbgV8DjwFDgWqzoOsp5UOk93DG68n519FpZUcHQvdQC1RHjVUQrwn6JiAzA/pH5GBtd7VMLVIhIfkgZVwMNzrfpfnufRWQK1gd/mIhUe8Ol3nuViCTQ+9getcASXyx4vAi0AHthBYPew7b5BfBPY8yV/oCIvIk1lZ8C/B29hztKV96vjl6rTdQl0b28T8g/JCKjsdGp70ee0c8QkVLgEaAQOMELxPF5H2vWnBg6Leyz68/3eXdswNlc7B+FWtIunZXYQEi9j23zXpZxAfzANL2HbTMZeNMdMMZ8gE3j280b0nu4Y3Tl/erotdpEBUP38jhwrIhUOGNnY/8TPd8zS+o9iEgBNgd5d2CmMWZ9aMp/gDrgTOecUuAk7L316c/3+UXgiNDrp96x44Gfo/exPR4B9hWRQc7YYVghtsDb13vYNsuBA90BEdkTG6m/zBvSe7hjdOX96ui12qanc1H78gsbaLIGeApbKOMSoJ4+VoBkJ+7PbVjf2WXAIaFXkTfnO9ho369hC8I8ik0bHKr3Oet9vZDowk16H6PvVyXWHTbX+wP6WWxBnadC8/QeZr+H38BaY37hfe7zsIGPS4EyvYeR96wUOMN7zQXecfZLu/p+deRa7a65p29aX39hfaDPYtXeGmw0e35Pr6s3vLDfPEyW1zhvjgBXY83rjcALwAF6n9u8rxeSKRj0PrZ9zyZiK99tx7p17gBqQnP0Hma/fwJ8BXjLu4ergPuACXoPs96zcbn8+9fRa7X10m6ViqIoiqK0i8YwKIqiKIrSLioYFEVRFEVpFxUMiqIoiqK0iwoGRVEURVHaRQWDoiiKoijtooJBURRFUZR2UcGgKIqiKEq7qGBQFCUSERknIkZE7ujptSiK0vOoYFAURVEUpV1UMCiKoiiK0i4qGBRFyUBErsU2DgK4wHNN+K8LnXnHishjIrJRRJpF5CMR+bmIVEdcc5n3KheRm0RkhYg0isibInKqN6dARL4rIh+KSJN3vUsjrjXDW8u1InKoiDwtIltFZJuIzBaRqVk+V5WIXC8iH3jXr/XmH7Xzd01R+jbaS0JRlAxEZAZwKrYL4QLgIefwQ8aYN0Xke8APgM3YFtHrgX2BY4B3gUONMXXONZdhW0Z/DAzAdtcrBM7Fdu47Bvgq8Elsy91mbDveIcA5xpj7Quv7N/AEcCTwtLfOicDpQCtwjDHmBeecauAlbKOeV7HNegYBZwHlwFeMMbd24nYpSr9ABYOiKJGIyDisleHPxpgLQ8eOwD5w5wLHG2O2OMcuBP4E/NIYc7kzvgwYixUXZxhjmr3xTwNzsF0iPwKO9q8nIhOA94F3jDEHONeagRUMAF83xtzsHDsFK3AWA5OMMUlv/FZs69/bgP82fgs/kd2B+UCxN3/ZDt4qRekXqEtCUZTOcJn3frErFgCMMXcAbwLnZTn3m75Y8Oa/gBUmNcCV7vWMMUuwVoF9RCQ/4lqLgf8L/fyHgeex1oZPA4hIDDgfqAe+Y5xvSsaYD4FfY60dn8/+kRWlf1PQ0wtQFGWX5FCs2f9METkz4nghMFhEBhpjNjnjW4wxH0XMXw2MB16LOLYKyAeGedsuL/gWhBDPAYcDB2DFw2Ss2+MlY8zmiPnPArO8+YqiRKCCQVGUzjAQ+/fj++3MKwdcwbA1y7w4gDEm6njce49FHFuX5Xprvfeq0PuaLPP98eosxxWl36OCQVGUzrAVyDPGDOjhdQzNMj7Me98aeh8WMRdgeGieoighNIZBUZRsJLz3qNiBeUCNiEzJ4XqimC4iUX/HZnjvb3jvHwANwP4iUhMx/wjv/fWuXZ6i9B1UMCiKko1awABjIo7d5L3/XkRGhA+KSJmIHNKdi/PYHZuK6f7sU7DxC4uBFwCMMS3A3VgXyQ9D83fDBnG2And1/5IVZddEXRKKokRijKkXkZeBT4vI3cAirNXhn8aYZ0TkKuB64EMReQyb6VCOTZ08HHgROK6bl/kE8AsRmUmwDkMTcFEoIPIqbNbEpSJyMDYt06/DUAFcaoxZiqIokahgUBSlLT6HtSYchy2wJMBK4C1jzE9F5CXst/PpwCnYGIBV2FoH9+RgfS9jLQY/Ai711vcscLUx5lV3ojFms4gcCnwHKyq+BTQCrwA/N8Y8mYP1KsouixZuUhRll8Mp3PQDY8y1PboYReknaAyDoiiKoijtooJBURRFUZR2UcGgKIqiKEq7aAyDoiiKoijtohYGRVEURVHaRQWDoiiKoijtooJBURRFUZR2UcGgKIqiKEq7qGBQFEVRFKVdVDAoiqIoitIu/x/YBq7lCiacLgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from numpy import *\n", "from scipy.integrate import odeint\n", "from matplotlib.pyplot import *\n", "ion()\n", "\n", "def RM(y, t, r, K, a, h, e, d):\n", " return array([ y[0] * ( r*(1-y[0]/K) - a*y[1]/(1+a*h*y[0]) ),\n", " y[1] * (e*a*y[0]/(1+a*h*y[0]) - d) ])\n", "\n", "t = arange(0, 1000, .1)\n", "y0 = [1, 1.]\n", "pars = (1., 10., 1., 0.1, 0.1, 0.1)\n", "\n", "y = odeint(RM, y0, t, pars)\n", "\n", "figure(figsize=(8, 6)) \n", "plot(t, y, linewidth=2.5)\n", "tick_params(labelsize= 15)\n", "xlabel('tempo',fontsize=20)\n", "ylabel('população',fontsize=20)\n", "legend(['recurso', 'consumidor'],fontsize=16)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para os parâmetros escolhidos acima, a solução de longo prazo (assintótica) é um ponto fixo. Vamos ver isso no espaço de fase, ou seja, o espaço de Predadores ($P$) vs. Presas ($V$). Notamos que as setas estão \"circulando\", mas sempre apontam para dentro, e assim a trajetória se move em direção ao meio, ao ponto fixo." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Consumidor')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plote a solução no espaço de fase\n", "plot(y[:,0], y[:,1],linewidth=2.5)\n", "tick_params(labelsize= 15)\n", "# definindo uma grade de pontos\n", "R, C = meshgrid(arange(0.95, 1.25, .05), arange(0.95, 1.04, 0.01))\n", "# calcula o valor da derivada no ponto na grade\n", "dy = RM(array([R, C]), 0, *pars)\n", "# traçamos as setas nos pontos da grade, com a diferença\n", "# e comprimento determinado pela derivada dy\n", "# Esta é uma imagem do fluxo da solução no espaço de fase\n", "quiver(R, C, dy[0,:], dy[1,:], scale_units='xy', angles='xy')\n", "xlabel('Recurso',fontsize=20)\n", "ylabel('Consumidor',fontsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Brincando um pouco com os parâmetros...\n", "\n", "Aumentando a capacidade de carga $K$ de $10$ para $15$, agora vemos oscilações..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# now K = 15\n", "t = arange(0, 1000, .1)\n", "pars = (1., 15., 1., 0.1, 0.1, 0.1)\n", "y_osc = odeint(RM, y0, t, pars)\n", "\n", "figure(figsize=(8, 6)) \n", "plot(t, y_osc, linewidth=2.5)\n", "tick_params(labelsize= 15)\n", "xlabel('tempo',fontsize=20)\n", "ylabel('população',fontsize=20)\n", "legend(['recurso', 'consumidor'],fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Olhando novamente para o gráfico de espaço de fase, vemos agora que o fluxo (as setas) de dentro apontam para fora, em direção a um ciclo limite, e as setas de fora apontam para dentro. O ciclo limite corresponde à solução periódica que acabamos de ver." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Consumidor')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(8, 6)) \n", "tick_params(labelsize= 15)\n", "plot(y_osc[:,0], y_osc[:,1],linewidth=2.5)\n", "R, C = meshgrid(arange(0, 6., .4), arange(0, 2.1, 0.2))\n", "dy = RM(array([R, C]), 0, *pars)\n", "quiver(R, C, dy[0,:], dy[1,:], scale_units='xy', angles='xy')\n", "xlabel('Recurso',fontsize=20)\n", "ylabel('Consumidor',fontsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### O diagrama de bifurcação\n", "\n", "Vimos as soluções para dois valores de $K$, $10$ e $15$, então queremos plotá-los como uma função de $K$. No segundo caso, há oscilações, então ao invés de pegar toda a solução, escolhemos apenas o mínimo e o máximo da solução (depois de muito tempo). Quando a solução é um ponto fixo, o mínimo e o máximo devem coincidir." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(8, 6)) \n", "plot(10., y[-500:,0].min(), 'og',markersize=20)\n", "plot(10., y[-500:,0].max(), 'og',markersize=20)\n", "plot(10., y[-500:,1].min(), 'ob',markersize=20)\n", "plot(10., y[-500:,1].max(), 'ob',markersize=20)\n", "plot(15., y_osc[-500:,0].min(), 'og',markersize=20)\n", "plot(15., y_osc[-500:,0].max(), 'og',markersize=20)\n", "plot(15., y_osc[-500:,1].min(), 'ob',markersize=20)\n", "plot(15., y_osc[-500:,1].max(), 'ob',markersize=20)\n", "xlim((0, 20))\n", "yscale('log')\n", "tick_params(labelsize= 15)\n", "xlabel('K',fontsize=20)\n", "ylabel('População min / max',fontsize=20)\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Este diagrama de bifurcação ainda está bastante incompleto: ​​tem apenas dois pontos em $K$! Vamos tentar com muitos valores de $K$.\n", "\n", "O que acontece quando alteramos a capacidade de carga $K$ de valores muito pequenos para valores muito grandes? Para valores muito pequenos, o recurso não vai sustentar a população consumidora, mas para valores maiores ok $K$, ambas as espécies devem ser beneficiadas... certo?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "## este bloco calcula soluções para muitos K's, devemos criar listas \n", "# vazia para que possamos anexar os valores posteriormente\n", "ymin = []\n", "ymax = []\n", "KK = arange(.5, 25, .5)\n", "t = arange(0, 6000, 1.)\n", "# loop sobre os valores de K (KK)\n", "for K in KK:\n", " #redefine os parâmetros usando o novo K\n", " pars = (1., K, 1., 0.1, 0.1, 0.1)\n", " #integre novamente a equação, com novos parâmetros\n", " y = odeint(RM, y0, t, pars)\n", " # calcula o mínimo e o máximo das populações, mas\n", " # apenas para os últimos 1000 passos (a solução a longo prazo),\n", " # anexando o resultado à lista\n", " # pergunta: 1000 é suficiente? Quando não seria?\n", " ymin.append(y[-1000:,:].min(axis=0))\n", " ymax.append(y[-1000:,:].max(axis=0))\n", "# converte as listas em arrays\n", "ymin = array(ymin)\n", "ymax = array(ymax)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "figure(figsize=(8, 6)) \n", "tick_params(labelsize= 15)\n", "# E agora, plotamos os diagrâmas de bifurcação\n", "plot(KK, ymin[:,0], 'g', label='recurso',linewidth=3.5)\n", "plot(KK, ymin[:,1], 'b', label='consumidor',linewidth=3.5)\n", "plot(KK, ymax[:,0], 'g',linewidth=3.5)\n", "plot(KK, ymax[:,1], 'b',linewidth=3.5)\n", "xlabel('$K$',fontsize=20)\n", "ylabel('Populações min/max',fontsize=20)\n", "legend(loc='best')\n", "# Usamos a escala log no eixo x\n", "yscale('log')\n", "ylabel('população',fontsize=20)\n", "legend(['recurso', 'consumidor'],fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bem, a primeira previsão foi OK (observe que o gráfico acima usa uma escala logarítmica), mas para $K$ altos, os mínimos da oscilação vão para valores muito baixos, então as populações têm alto risco de extinção. Esse fenômeno é o chamado **paradoxo do enriquecimento**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dinâmica dos recursos do consumidor em um ambiente sazonal\n", "\n", "Um tipo especial de diagrama de bifurcação pode ser usado quando temos parâmetros que oscilam com o tempo, e queremos ver como isso interage com o sistema. Vamos considerar novamente as equações de Rosenzweig-MacArthur, mas agora fazemos $r$, a taxa de crescimento da presa, oscilar senoidalmente no tempo:\n", "\n", "$$ \\begin{aligned}\n", "\\frac{dR}{dt} &= r(t) R \\left( 1 - \\frac{R}{K} \\right) - \\frac{a R C}{1+ahR} \\\\\n", "\\frac{dC}{dt} &= \\frac{e a R C}{1+ahR} - d C \\\\\n", "r(t) &= r_0 (1+\\alpha \\sin(2\\pi t/T))\n", "\\end{aligned} $$\n", "\n", "Integramos de forma usual:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "figure(figsize=(8, 6)) \n", "tick_params(labelsize= 15)\n", "\n", "def RM_season(y, t, r, alpha, T, K, a, h, e, d):\n", " # nesta função, o 't' aparece explicitamente\n", " return array([ y[0] * ( r * (1+alpha*sin(2*pi*t/T)) *\n", " (1-y[0]/K) - a*y[1]/(1+a*h*y[0]) ),\n", " y[1] * (e*a*y[0]/(1+a*h*y[0]) - d) ])\n", "\n", "t = arange(0, 2000, 1.)\n", "y0 = [1., 1.]\n", "pars = (1., 0.1, 80., 10., 1., 0.1, 0.1, 0.1)\n", "y = odeint(RM_season, y0, t, pars)\n", "plot(t, y,linewidth=2.5)\n", "xlabel('tempo',fontsize=20)\n", "ylabel('população',fontsize=20)\n", "legend(['recurso', 'consumidor'],fontsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe que, mesmo com $K$ pequeno, as soluções oscilam devido à oscilação de $r(t)$.\n", "\n", "Agora usamos uma ferramenta que é a favorita de todos os tempos dos físicos: o diagrama de ressonância. Funciona exatamente como um diagrama de bifurcação, mas o parâmetro que é alterado é o período (ou frequência) da oscilação externa." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "ymin = []\n", "ymax = []\n", "t = arange(0, 6000, 1.) # tempos\n", "TT = arange(1, 80, 2) # períodos\n", "for T in TT:\n", " pars = (1., 0.1, T, 10., 1., 0.1, 0.1, 0.1)\n", " y = odeint(RM_season, y0, t, pars)\n", " ymin.append(y[-1000:,:].min(axis=0))\n", " ymax.append(y[-1000:,:].max(axis=0))\n", "ymin = array(ymin)\n", "ymax = array(ymax)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "figure(figsize=(8, 6)) \n", "tick_params(labelsize= 15)\n", "plot(TT, ymin[:,0], 'g', label='recurso',lw=3.5)\n", "plot(TT, ymin[:,1], 'b', label='consumidor',lw=3.5)\n", "plot(TT, ymax[:,0], 'g',lw=3.5)\n", "plot(TT, ymax[:,1], 'b',lw=3.5)\n", "legend(loc='best')\n", "yscale('log')\n", "xlabel('$T$',fontsize=20)\n", "ylabel('Populações min/max',fontsize=20)\n", "legend(['recurso', 'consumidor'],fontsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vemos um pico forte! (lembre-se que esta é uma escala logarítmica). A frequência em que esse pico ocorre é a **frequência de ressonância** do sistema, e está relacionada com a frequência natural do sistema (que existe mesmo quando vai para um ponto fixo com parâmetros constantes!). A oscilação externa excita a frequência natural e aciona ciclos de grande amplitude, como quando empurramos uma gangorra (ou gangorra, o balancín)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## E se eu realmente quiser explorar um espaço de parâmetros de 10 dimensões?\n", "\n", "Primeiro: boa sorte. Em segundo lugar, você provavelmente terá que amostrar o espaço, em vez de passar por tudo. O método recomendado para fazer isso é usar as chamadas [Latin Hypercube samples](http://en.wikipedia.org/wiki/Latin_hypercube_sampling), que usa uma amostragem aleatória enquanto garante uma distribuição espaçada aproximadamente regularmente. Observe, no entanto, que esse método é uma maneira de amostrar o espaço de parâmetros e fazer estatísticas úteis com ele, portanto, o resultado só fará sentido se você souber interpretar adequadamente os resultados. Dito isso, existem implementações para R e python:\n", "\n", "* [R-Cran pse: Parameter space exploration](http://cran.r-project.org/web/packages/pse/)\n", "* [PyDOE: design of experiments for Python](http://pythonhosted.org/pyDOE/randomized.html)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 4 }