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Logistic Growth

Population growth with resource limits

🧬Carrying Capacity / Logistic Growth

Logistic growth is population growth that slows as resources become limiting. The S-shaped sigmoid curve contrasts with unconstrained exponential growth.

  1. 1P(t) = K / (1 + ((K-P₀)/P₀) × e^(-rt))
  2. 2Three phases: exponential, slowing, plateau at K
Bacteria in nutrient broth=Grows exponentially then S-curves to max colony sizeClassic microbiology demonstration
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