NEET2025Botany-Population Growth

NEET 2025 Botany Logistic Growth MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population?

A

dNdt=r(KNK)\frac{dN}{dt} = r\left(\frac{K - N}{K}\right)

B

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

C

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

D

dNdt=N(rKK)\frac{dN}{dt} = N\left(\frac{r - K}{K}\right)

Correct Answer

Option B

Detailed Explanation

The Verhulst-Pearl Logistic Growth equation is dNdt=rN(KNK)\frac{dN}{dt} = rN \left( \frac{K⁻N}{K} \right), where r is the intrinsic growth rate, N is the population size, and K is the carrying capacity.

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