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?
Answer & explanation
Correct answer: option 2
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 \(\frac{ K -N}{K} = 0\)
\(\frac{dN}{dt} = 0\)