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Logistic Growth

Population growth limited by carrying capacity.

Formula

dNdt=rN(1−NK)\frac{dN}{dt} = rN\left(1 - \frac{N}{K}\right)

Variables

rGrowth rate
NPopulation
KCarrying capacity

Did You Know?

The logistic curve bends the population explosion into an S-shape as resources run out — carrying capacity in action.

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