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How to Calculate Logistic Growth

What is Logistic Growth?

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

Step-by-Step Guide

  1. 1P(t) = K / (1 + ((K-P₀)/P₀) × e^(-rt))
  2. 2Three phases: exponential, slowing, plateau at K

Worked Examples

Input
Bacteria in nutrient broth
Result
Grows exponentially then S-curves to max colony size
Classic microbiology demonstration

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