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Compute Verhulst logistic growth toward carrying capacity K, with instantaneous dN/dt and capacity percentage.
Call this tool from your code in three languages.
curl -X POST 'http://127.0.0.1:3003/en/api/tools/logistic-growth-calculator' \
-H 'Content-Type: application/json' \
-d '{"n0":100,"k":10000,"r":0.5,"t":10,"decimalPlaces":2}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST http://127.0.0.1:3003/en/api/tools/logistic-growth-calculator| Name | Type | Required | Description |
|---|---|---|---|
| n0 | number | Yes | Population size at t = 0 (cells, individuals, biomass — any unit). |
| k | number | Yes | Maximum sustainable population under the available resources. |
| r | number | Yes | Per-capita rate in unlimited conditions; must be > 0. |
| t | number | Yes | Time elapsed in the same unit as r. |
| decimalPlaces | number | No |
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-logistic-growth-calculator": {
"name": "logistic-growth-calculator",
"description": "Compute Verhulst logistic growth toward carrying capacity K, with instantaneous dN/dt and capacity percentage.",
"baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=logistic-growth-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "logistic-growth-calculator",
"arguments": {
"n0": 100,
"k": 10000,
"r": 0.5,
"t": 10,
"decimalPlaces": 2
}
}
}Questions or issues? Contact [email protected]
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JSON result
{
"key": {...},
"metadata": {
"key": "value"
},
"error": "Error message (optional)",
"message": "Notification message (optional)"
}