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SIR SEIR Compartmental Epidemic R0 and Intervention Modeling Coach

Run SIR / SEIR / SEIR+V / SEIR+H ODEs with RK4: R0, herd-immunity threshold, analytic peak and final-size equations, growth-rate conversion, WAIFW next-generation-matrix R0, incidence fitting and intervention simulation.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/sir-seir-compartmental-epidemic-r0-and-intervention-modeling-coach' \
  -H 'Content-Type: application/json' \
  -d '{"model":"SEIR","population":1000000,"r0":2.5,"infectiousDays":5,"latentDays":3,"initialInfectious":10,"days":180,"interventionDay":40,"interventionBetaReduction":40,"vaccinationDay":0,"vaccinationRate":0,"hospProp":0,"hospLosDays":10,"waifw":"","fitData":""}'

API reference

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

Endpoint

HTTP
POST https://api.elysiatools.com/en/api/tools/sir-seir-compartmental-epidemic-r0-and-intervention-modeling-coach

Parameters

NameTypeRequiredDescription
modelselectNo—
populationnumberNo—
r0numberNo—
infectiousDaysnumberNo—
latentDaysnumberNo—
initialInfectious

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-sir-seir-compartmental-epidemic-r0-and-intervention-modeling-coach": {
      "name": "sir-seir-compartmental-epidemic-r0-and-intervention-modeling-coach",
      "description": "Run SIR / SEIR / SEIR+V / SEIR+H ODEs with RK4: R0, herd-immunity threshold, analytic peak and final-size equations, growth-rate conversion, WAIFW next-generation-matrix R0, incidence fitting and intervention simulation.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=sir-seir-compartmental-epidemic-r0-and-intervention-modeling-coach",
      "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": "sir-seir-compartmental-epidemic-r0-and-intervention-modeling-coach",
    "arguments": {
  "model": "SEIR",
  "population": 1000000,
  "r0": 2.5,
  "infectiousDays": 5,
  "latentDays": 3,
  "initialInfectious": 10,
  "days": 180,
  "interventionDay": 40,
  "interventionBetaReduction": 40,
  "vaccinationDay": 0,
  "vaccinationRate": 0,
  "hospProp": 0,
  "hospLosDays": 10,
  "waifw": "",
  "fitData": ""
}
  }
}
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© 2026 Elysia Tools. Developer documentation.

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number
No
—
daysnumberNo—
interventionDaynumberNo—
interventionBetaReductionnumberNo—
vaccinationDaynumberNo—
vaccinationRatenumberNo—
hospPropnumberNo—
hospLosDaysnumberNo—
waifwtextareaNo—
fitDatatextareaNo—

Response format

HTML result

JSON
{
  "result": "<div>Processed HTML content</div>",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}
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]