{
  "id": "LV-rabbits-wolves-model03-regnet",
  "header": {
    "name": "Lotka Volterra Rabbits Wolves Model 03",
    "schema": "https://raw.githubusercontent.com/DARPA-ASKEM/Model-Representations/regnet_v0.1/regnet/regnet_schema.json",
    "description": "Lotka Volterra model",
    "model_version": "0.1"
  },
  "model": {
    "vertices": [
      {
        "id": "R",
        "name": "Rabbits",
        "grounding": {},
        "initial": "R0",
        "rate_constant": "alpha",
        "sign": true
      },
      {
        "id": "W",
        "name": "Wolves",
        "grounding": {},
        "initial": "W0",
        "rate_constant": "gamma",
        "sign": false
      }
    ],
    "edges": [
      {
        "id": "wolf_eats_rabbits",
        "source": "W",
        "target": "R",
        "sign": false,
        "properties": {
          "rate_constant": "beta"
        }
      },
      {
        "id": "rabbit_feeds_wolf",
        "source": "R",
        "target": "W",
        "sign": true,
        "properties": {
          "rate_constant": "delta"
        }
      }
    ],
    "parameters": [
      {
        "id": "R0",
        "description": "Initial rabbit population",
        "value": 1.1,
        "distribution": {
          "type": "Uniform1",
          "parameters": {
            "minimum": 1.0,
            "maximum": 1.2
          }
        }
      },
      {
        "id": "W0",
        "description": "Initial wolf population",
        "value": 1.0,
        "distribution": {
          "type": "Uniform1",
          "parameters": {
            "minimum": 0.9,
            "maximum": 1.1
          }
        }
      },
      {
        "id": "alpha",
        "description": "Maximum per capita prey growth rate",
        "value": 0.5,
        "distribution": {
          "type": "Uniform1",
          "parameters": {
            "minimum": 0.45,
            "maximum": 0.55
          }
        }
      },
      {
        "id": "beta",
        "description": "Effect of predators on prey",
        "value": 0.5,
        "distribution": {
          "type": "Uniform1",
          "parameters": {
            "minimum": 0.45,
            "maximum": 0.55
          }
        }
      },
      {
        "id": "gamma",
        "description": "Effect of prey on predators",
        "value": 2.0,
        "distribution": {
          "type": "Uniform1",
          "parameters": {
            "minimum": 1.9,
            "maximum": 2.1
          }
        }
      },
      {
        "id": "delta",
        "description": "Maximum per capita predator death rate",
        "value": 2.0,
        "distribution": {
          "type": "Uniform1",
          "parameters": {
            "minimum": 1.9,
            "maximum": 2.1
          }
        }
      }
    ],
    "observables": [
      {
        "id": "R",
        "name": "rabbits",
        "expression": "R",
        "expression_mathml": "<ci>R</ci>"
      },
      {
        "id": "W",
        "name": "wolves",
        "expression": "W",
        "expression_mathml": "<ci>W</ci>"
      }
    ]
  }
}