According to the logistic model equation \(\frac{dN}{dt} = rN\left[\frac{ 1 -N}{K}\right]\) under which condition does the population growth rate become zero?

When the ratio of the population size (N) to the carrying capacity (K) equals zero.

The correct answer is Option (2) -When the ratio of the population size (N) to the carrying capacity (K) equals zero.

Growth rate of a population following logistic model equals zero, when N/K is exactly one. In logistic growth model, population growth equation is described as

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

When\(\frac{N}{K} = 1\) then \(\frac{ K -N}{K} = 0\)

\(\frac{dN}{dt} = 0\)