Health

Lotka–Volterra Interspecific Competition Simulator

RK4 simulation of two competing species with phase plane, isoclines, equilibrium, and automatic outcome classification.

html· HTML resultOpen tool

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-competition' \
  -H 'Content-Type: application/json' \
  -d '{"r1":0.5,"r2":0.4,"k1":100,"k2":80,"alpha12":0.6,"alpha21":0.5,"n10":10,"n20":8,"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-competition

Parameters

Name	Type	Required	Description
r1	number	Yes	Per-capita growth rate of species 1 with no competition.
r2	number	Yes	Per-capita growth rate of species 2 with no competition.
k1	number	Yes	Population species 1 reaches alone.
k2	number	Yes	Population species 2 reaches alone.
alpha12	number	Yes	Competitive impact of one species-2 individual on species 1, in K₁ units. α₁₂ = 1 means individuals are interchangeable.

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-competition": {
      "name": "lotka-volterra-competition",
      "description": "RK4 simulation of two competing species with phase plane, isoclines, equilibrium, and automatic outcome classification.",
      "baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=lotka-volterra-competition",
      "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-competition",
    "arguments": {
  "r1": 0.5,
  "r2": 0.4,
  "k1": 100,
  "k2": 80,
  "alpha12": 0.6,
  "alpha21": 0.5,
  "n10": 10,
  "n20": 8,
  "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]

Browse tools Open tool