Population Growth Model

The logistic growth equation models how a population grows quickly at first, then levels off as it approaches the environment's carrying capacity.

P(t) = K · P₀ / ( P₀ + (K − P₀) · e^{−r(t − t₀)} )

Enter values for the model, then press Plot to graph the population over time.

Carrying Capacity (K)

Initial Population (P₀)

Growth Rate (r)

Start Time (t)

End Time (t)