Exponential growth cannot last forever. The logistic equation adds a carrying capacity K, producing the familiar S-curve seen in ecology and market saturation.
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Open equation pagedN/dt = rN(1 − N/K) — populations that boom, then level off as resources cap growth.
6 min read · 2026-06-11
Exponential growth cannot last forever. The logistic equation adds a carrying capacity K, producing the familiar S-curve seen in ecology and market saturation.
Explore interactively
Open equation page