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  • Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population? A) dtdN=rN(K−NK) B) dtdN=r(KK−N) C) dtdN=rN(KK−N) D) dtdN=rN(KN)

Q.111)  Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population?

A) dtdN=rN(K−NK)

B) dtdN=r(KK−N)

C) dtdN=rN(KK−N)

D) dtdN=rN(KN)

Answers (1)

best_answer

Q.111) The Verhulst-Pearl Logistic Growth equation is a mathematical model used to describe population growth that is initially exponential but slows as the population reaches the carrying capacity KKK. The general formula for logistic growth is:

dNdt=rN(K−NK)\frac{dN}{dt} = rN \left( \frac{K - N}{K} \right)dtdN?=rN(KK−N?)

Where:

  • dNdt\frac{dN}{dt}dtdN? is the rate of change of the population size.

  • rrr is the intrinsic growth rate.

  • NNN is the population size at time ttt.

  • KKK is the carrying capacity of the environment (the maximum population size that can be supported).

This equation shows that as the population NNN approaches the carrying capacity KKK, the rate of growth dNdt\frac{dN}{dt}dtdN? decreases, which models the limitations imposed by resources.

Hence, the correct answer is Option (3) 

Posted by

Parbin Huda Baruah

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