Work out logistic population growth instantly with clear inputs, formula shown and shareable results.
Solves the logistic equation, where growth slows as the population approaches carrying capacity and is fastest at half of it.
Logistic growth
N(t) = K / (1 + ((K - N0)/N0) e^-rt); dN/dt = rN(1 - N/K), maximal at N = K/2
At half the carrying capacity, which is also the maximum sustainable yield point in simple harvest models.
Not in the continuous logistic model, though time-lagged and discrete versions can overshoot and oscillate.