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Lotka–Volterra Predator-Prey Dynamics Simulator

RK4 simulation of the classic predator–prey oscillator with phase plane, closed orbits, equilibrium, and period analysis.

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Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'http://127.0.0.1:3003/en/api/tools/lotka-volterra-predator-prey' \
  -H 'Content-Type: application/json' \
  -d '{"rPrey":0.5,"aPred":0.01,"bConv":0.01,"mPred":0.4,"n0":60,"p0":30,"tMax":60}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST http://127.0.0.1:3003/en/api/tools/lotka-volterra-predator-prey

Parameters

Name	Type	Required	Description
rPrey	number	Yes	Per-capita prey growth with no predators present.
aPred	number	Yes	Removal of prey per encounter — multiplies N·P.
bConv	number	Yes	New predators produced per prey consumed — sets the prey level needed to sustain predators (N* = m/b).
mPred	number	Yes	Per-capita predator death rate with no prey.
n0	number	Yes

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-lotka-volterra-predator-prey": {
      "name": "lotka-volterra-predator-prey",
      "description": "RK4 simulation of the classic predator–prey oscillator with phase plane, closed orbits, equilibrium, and period analysis.",
      "baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=lotka-volterra-predator-prey",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "lotka-volterra-predator-prey",
    "arguments": {
  "rPrey": 0.5,
  "aPred": 0.01,
  "bConv": 0.01,
  "mPred": 0.4,
  "n0": 60,
  "p0": 30,
  "tMax": 60
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

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