Calculus & Numerical Methods
Logistic Growth Value
Population at time t under logistic growth.
Formula
Formula
P = K1 + (K−P0P0) e−rt
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| K | carrying capacity | real number (ℝ) | — | input |
| P₀ | initial population | computed result | — | result |
| r | growth rate | real number (ℝ) | — | input |
| t | time | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
GivenK = 1000, P₀ = 10, r = 0.5, t = 10
Result599.8596018
Example 2
GivenK = 500, P₀ = 50, r = 0.3, t = 5
Result166.2139309