{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import scipy.integrate\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "R0 = 2.2 #2.2 #Reproduction number\n", "D_incubation = 5.2 #Length of incubation period\n", "D_infectious = 1 # Duration patient is infectious\n", "population = 1380004000 # 1,38,00,04,000 # Source WHO 2020 " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def model(y, t, D_inf = D_infectious, Rt = R0):\n", " # :param array y: S E I R values\n", " # :param array t: Time array (days)\n", " \n", " N = population\n", " beta = Rt / D_inf\n", " sigma = 1 / D_incubation\n", " gamma = 1 / D_inf\n", " \n", " S, E, I, R = y\n", " \n", " dS = -beta * S * I / N\n", " dE = beta * S * I / N - sigma * E\n", " dI = sigma * E - gamma * I\n", " dR = gamma * I\n", "\n", " return ([dS, dE, dI, dR])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def solve(model, population, E0, D_inf, Rt):\n", " T = np.arange(365)\n", " Y0 = population - E0, E0, 0, 0 # S, E, I, R at initial step\n", "\n", " y_data_var = scipy.integrate.odeint(model, Y0, T, args=(D_inf, Rt))\n", " S, E, I, R = y_data_var.T # transpose and unpack\n", " return T, S, E, I, R" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting the variation of initial infected population\n", "Initial Population = 1 Peak day = 125 Peak infected = 41,470,116 Peak Death = 1,244,103\n", "Initial Population = 100 Peak day = 98 Peak infected = 41,481,896 Peak Death = 1,244,457\n", "Initial Population = 1000 Peak day = 84 Peak infected = 41,432,907 Peak Death = 1,242,987\n", "Initial Population = 10000 Peak day = 71 Peak infected = 41,481,062 Peak Death = 1,244,432\n" ] } ], "source": [ "print(\"Plotting the variation of initial infected population\")\n", "for initp in [1,100,1000,10000]:\n", " X, S, E, I, R = solve(model, population, initp, D_infectious, R0)\n", " i_peak = np.amax(I)\n", " day = np.where(i_peak == I)\n", " print(\"Initial Population =\", initp, \"Peak day =\" ,day[0][0], \"Peak infected =\", f\"{i_peak:,.0f}\", \"Peak Death =\", f\"{(i_peak*0.03):,.0f}\")\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above table shows that the Peak day gets effected by the initial number of cases reported" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Exposed= 948594529 %= 68.73853475717421\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r = pd.DataFrame({\n", " \"Day\": X,\n", " \"S\": S,\n", " \"E\": E,\n", " \"I\": I,\n", " \"R\": R\n", "})\n", "ax1 = r.plot(\n", " x = \"Day\",\n", " y = [\"E\", \"I\"],\n", " grid = True,\n", " figsize = (10, 5)\n", ")\n", "\n", "\n", "# textbox\n", "peakx = 70\n", "ax1.text(\n", " peakx + 2,\n", " r['I'].iloc[peakx] * 1.25,\n", " \"Peak Infections\\n\" + str(int(r['I'].iloc[peakx])), \n", " bbox={'facecolor':'white'}\n", ")\n", "# red cross\n", "ax1.scatter(\n", " [peakx], \n", " [r['I'].iloc[peakx]], \n", " c='red', \n", " marker='x'\n", ")\n", "\n", "# arrow\n", "ax1.annotate(\n", " \"Peak Exposed\", \n", " xy=(70, r['E'].iloc[70]), \n", " xytext=(100, 160000000), \n", " arrowprops={}, \n", " bbox={'facecolor':'white'}\n", ")\n", "\n", "# Scales are different hence plotting separately\n", "ax2 = r.plot(\n", " x = \"Day\",\n", " y = [\"S\", \"R\"],\n", " grid = True,\n", " figsize = (10, 5)\n", ")\n", "\n", "settledx = 150\n", "residualS = r['S'].iloc[settledx]\n", "residualR = r['R'].iloc[settledx]\n", "# red cross\n", "ax2.scatter(\n", " [settledx], \n", " [residualS], \n", " c='red', \n", " marker='x'\n", ")\n", "\n", "\n", "ax2.text(\n", " settledx + 2,\n", " residualS * 1.25,\n", " \"Residual Susceptible\\n\" + str(int(residualS)), \n", " bbox={'facecolor':'white'}\n", ")\n", "\n", "# red cross\n", "ax2.scatter(\n", " [settledx], \n", " [residualR], \n", " c='red', \n", " marker='x'\n", ")\n", "\n", "\n", "ax2.text(\n", " settledx + 2,\n", " residualR * 1.1,\n", " \"Residual Recovered\\n\" + str(int(residualR)), \n", " bbox={'facecolor':'white'}\n", ")\n", "\n", "Exposed=residualR-residualS\n", "print(\"Exposed=\", int(Exposed), \" %=\", (Exposed/population)*100)\n", "# # arrow\n", "# ax1.annotate(\n", "# \"Peak Exposed\", \n", "# xy=(70, r['E'].iloc[70]), \n", "# xytext=(100, 160000000), \n", "# arrowprops={}, \n", "# bbox={'facecolor':'white'}\n", "# )" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting the variation of R0\n", "R0 = 1.1 Peak day = 364 Peak infected = 155 Peak Death = 5\n", "R0 = 1.4 Peak day = 300 Peak infected = 10,093,044 Peak Death = 302,791\n", "R0 = 1.5 Peak day = 248 Peak infected = 14,015,652 Peak Death = 420,470\n", "R0 = 2.0 Peak day = 138 Peak infected = 34,054,931 Peak Death = 1,021,648\n", "R0 = 2.2 Peak day = 119 Peak infected = 41,470,420 Peak Death = 1,244,113\n", "R0 = 2.5 Peak day = 99 Peak infected = 51,696,732 Peak Death = 1,550,902\n", "R0 = 3.0 Peak day = 79 Peak infected = 66,313,560 Peak Death = 1,989,407\n" ] } ], "source": [ "print(\"Plotting the variation of R0\")\n", "for Rt in [1.1,1.4,1.5,2.0,2.2,2.5,3.0]:\n", " X, S, E, I, R = solve(model, population, 3, D_infectious, Rt)\n", " i_peak = np.amax(I)\n", " day = np.where(i_peak == I)\n", " print(\"R0 =\", Rt, \"Peak day =\" ,day[0][0], \"Peak infected =\", f\"{i_peak:,.0f}\", \"Peak Death =\", f\"{(i_peak*0.03):,.0f}\")\n", " " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting the variation of D_infectious\n", "D_infectious = 1.1 Peak day = 122 Peak Death = 1,345,330\n", "D_infectious = 1.4 Peak day = 130 Peak Death = 1,633,232\n", "D_infectious = 1.5 Peak day = 132 Peak Death = 1,722,142\n", "D_infectious = 2.0 Peak day = 145 Peak Death = 2,133,939\n", "D_infectious = 2.2 Peak day = 150 Peak Death = 2,282,697\n", "D_infectious = 2.5 Peak day = 157 Peak Death = 2,489,565\n", "D_infectious = 3.0 Peak day = 169 Peak Death = 2,804,070\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print(\"Plotting the variation of D_infectious\")\n", "for D_infectious in [1.1,1.4,1.5,2.0,2.2,2.5,3.0]:\n", " X, S, E, I, R = solve(model, population, 3, D_infectious, R0)\n", " i_peak = np.amax(I)\n", " day = np.where(i_peak == I)\n", " print(\"D_infectious =\", D_infectious, \"Peak day =\" ,day[0][0], \"Peak Death =\", f\"{(i_peak*0.03):,.0f}\")\n", " r = pd.DataFrame({\n", " \"Day\": X,\n", " \"S\": S,\n", " \"E\": E,\n", " \"I\": I,\n", " \"R\": R\n", " })\n", " \n", " # Scales are different hence plotting separately\n", " r.plot(\n", " x = \"Day\",\n", " y = [\"S\", \"R\"],\n", " grid = True,\n", " #subplots = True,\n", " figsize = (10, 5)\n", " )\n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }