Q51 / 180 · NEET 2026 (Cancelled) · Botany
Which of the following equations depicts Verhulst-Pearl logistic population growth ?
- A$\dfrac{dN}{dt} = rN\left(\dfrac{K+N}{K}\right)$
- Correct answerB$\dfrac{dN}{dt} = rN\left(\dfrac{K-N}{K}\right)$
- C$\dfrac{dN}{dt} = rN\left(\dfrac{K-N}{N}\right)$
- D$\dfrac{dN}{dt} = rN\left(\dfrac{K}{K-N}\right)$
Solution
The Verhulst-Pearl logistic population growth is described by the equation:
$\dfrac{dN}{dt} = rN\left(\dfrac{K-N}{K}\right)$
where $N$ is the population density at time $t$, $r$ is the intrinsic rate of natural increase, and $K$ is the carrying capacity.
Answer: $\dfrac{dN}{dt} = rN\left(\dfrac{K-N}{K}\right)$
$\dfrac{dN}{dt} = rN\left(\dfrac{K-N}{K}\right)$
where $N$ is the population density at time $t$, $r$ is the intrinsic rate of natural increase, and $K$ is the carrying capacity.
Answer: $\dfrac{dN}{dt} = rN\left(\dfrac{K-N}{K}\right)$
Hence, the correct answer is option: 'B'.