question_answer

Verhulst-PearP is associated with the equation

A)  \[\frac{dN}{dt}=rN\left( \frac{K-N}{K} \right)\]

B)  \[\frac{dN}{dt}=tN\left( \frac{K-N}{K} \right)\]

C)  \[\frac{dN}{dt}=rN\left( \frac{K-N}{N} \right)\]

D)  \[\frac{dN}{dt}=tN\left( \frac{K-N}{N} \right)\]

Correct Answer: A

Solution :

                 Population growth under the Verhulst-Pearl logistic equation is sigmoidal (S-shaped), reaching an upper limit termed the carrying capacity, K. Population initiated at densities above K decline exponentially untill they reach K, which represents the only stable equilibrium.