The logistic population growth is expressed by the equation :

Options

(a) dt/dN = Nr(K-N)/K
(b) dN/dt = rN(K-N)/K
(c) dN/dt = rN
(d) dN/dt = rN(N-K)/K

Correct Answer:

dN/dt = rN(K-N)/K

Explanation:

The logistic population growth is expressed by the equation dN/dt = rN [(K-N)/K] where N is population density at time t,r is the Malthusian parameter (rate of maximum population growth) and K is the so called carrying capacity (i.e. maximum sustainable population). It is a type of population growth when resources are limiting.