Logistic growth equation

Describes how a population grows when resources are limited, with growth rate slowing as the population approaches the carrying capacity. It is the standard model of density-dependent population growth in ecology.

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

What the symbols mean

population size (number of individuals)
time
intrinsic per-capita growth rate (per unit time)
carrying capacity, the maximum sustainable population size

About this formula

  • FieldBiology and medicine
  • TopicPopulation ecology
  • LevelUniversity
  • Also calledlogistic population growth, logistic growth model, population growth with carrying capacity, verhulst equation, logistic equation, r/K selection growth model
  • SourceWikidata Q1139299

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