Q. 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) $\frac{dN}{dt}=N\left(\frac{r-K}{K}\right)$
Explanation
[Solution by Claude - not from source] The logistic equation is $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$, where $K$ is the carrying capacity. Answer (2), as in the answer key.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.