THE FEUTEX TOOLKIT

Logistic Growth Trajectory

Evaluate a logistic growth model at a chosen time with an explicit carrying capacity.

Math workspace● Runs in your browser

01 Your input

CapacityquantityInitial quantityquantityGrowth rate1/timeElapsed timetime

02 Your result

View or copy raw result data

Result data

FormulaQuantity = k/(1+(k/initial-1)*exp(-r*t)); Initial Growth = r*initial*(1-initial/k)

Sources and model references

https://mathworld.wolfram.com/LogisticEquation.html

Worked example

Inputs

Capacity: 1000 quantity
Initial quantity: 100 quantity
Growth rate: 0.2 1/time
Elapsed time: 10 time

Expected results

Quantity: 450.8530604 quantity
Initial Growth: 18 quantity/time

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

Enter the labeled inputs using consistent units.
Check the stated assumptions and calculate.
Review each output and compare another input scenario.

Try this example

{
  "k": 1000,
  "initial": 100,
  "r": 0.2,
  "t": 10
}

Accuracy and scope

Constant-rate mathematical growth model, not a fitted forecast. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.