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 equals 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 described 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`