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ZoologyNEET 2025Population attributes, growth models and interactions

Organisms and Populations

Which one of the following equations represents the Verhulst–Pearl logistic growth of a population?

  1. A.dNdt=r(K−NK)\dfrac{dN}{dt} = r\left(\dfrac{K - N}{K}\right)
  2. B.dNdt=rN(K−NK)\dfrac{dN}{dt} = rN\left(\dfrac{K - N}{K}\right)✓
  3. C.dNdt=rN(N−KN)\dfrac{dN}{dt} = rN\left(\dfrac{N - K}{N}\right)
  4. D.dNdt=rK(NK)\dfrac{dN}{dt} = rK\left(\dfrac{N}{K}\right)

Solution

The Verhulst–Pearl logistic equation is dNdt=rN(K−NK)\frac{dN}{dt} = rN\left(\frac{K - N}{K}\right), growth slowing as the population NN approaches the carrying capacity KK.

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