basic

Logistic Population Growth at Time t Calculator

P(t) = K / (1 + ((K−P₀)/P₀) · e^−rt) — S-curve.

Calculates population P(t) using the logistic growth model with carrying capacity K, initial population P₀, and growth rate r.

Priya Venkatesan By Priya Venkatesan
Published Last reviewed 1 min read

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Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P(t) = K / (1 + ((K−P₀)/P₀)·e^−rt)

In depth

Calculates population P(t) using the logistic growth model with carrying capacity K, initial population P₀, and growth rate r.