NEET 2025 Botany Logistic Growth MCQ Question with Solution

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

A

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

B

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

C

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

D

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

Correct Answer

Option B

Detailed Explanation

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

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