When does the growth rate of a population following the logistic model equal zero ? The logistic model is given as dN/dt = rN(1-N/K):

Options

A. when N nears the carrying capacity of the habitat
B. when `N//K` quals zero
C. when death rate is greater than birth rate
D. when `N//K` is exactly one

Answer

D

Explanation

In logistic growth model population growth equation is descrebed as
` (dN)/(dt)=rN((K-N)/(K))`
where, N=Population density at time t
r=Intrinsic rate of natural increase
K=Carrying capacity
when, `(N)/(K)=1 "then" (K-N)/(K)=0`
Therefore, `(dN)/(dt)=0`