Solveeit Logo

Question

Biology Question on Ecology and Environment

Which of the following equation is correct about Verhulst-Pearl Logistic Growth?

A

dNdt=(hd)KNK\frac{dN}{dt} = (h - d) \frac{K - N}{K}

B

dNdt=rNNKK\frac{dN}{dt} = rN \frac{N - K}{K}

C

dNdt=rNKNK\frac{dN}{dt} = rN \frac{K - N}{K}

D

dNdt=(hd)NKK\frac{dN}{dt} = (h - d) \frac{N - K}{K}

Answer

dNdt=rNKNK\frac{dN}{dt} = rN \frac{K - N}{K}

Explanation

Solution

The Verhulst-Pearl logistic growth model describes population growth where resources are limited. The correct equation for logistic growth is dNdt=rNKNK\frac{dN}{dt} = rN \frac{K - N}{K}, where N is the population size, r is the intrinsic growth rate, and K is the carrying capacity. This equation predicts an S-shaped growth curve as the population approaches K.