Carrying Capacity (Logistic Growth)

Project population size over time with logistic growth toward a carrying capacity, free online.

Initial population (N₀)

Intrinsic growth rate r (per time unit)

Carrying capacity (K)

Time elapsed

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Logistic growth slows as a population N approaches the carrying capacity K: N(t) = K ÷ (1 + ((K − N₀) ÷ N₀)·e^(−rt)). Growth is fastest at N = K/2 (maximum sustainable yield = rK/4).