The carrying capacity of environment for a given population can be represented by the equation

Options

A. `dN//dt=rN`
B. `dN//dt=rN (N-K)/(N)`
C. `dt//dN=Nr (K-N)/(K)`
D. `dN//dt=rN (K-N)/(K)`

Answer

D

Explanation

Logistic growth describes a situation in which resources present in the environment are limiting in nature a given habitat has enough resources to support a maximum possible number.
`(dN)/(dt)=rN[(K-N)/(K)]`
Where N = Population density at time
r = Intrinsic rate of natural increase
K = Carrying capacity.