Which of the following equations correctly represents Verhulst-Pearl logistic growth ?

Options

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

Answer

A

Explanation

S-shaped growth curve is also called Verhulst-Pearl logistic curve and is represented by the following equation :
`(dN)/(d) = rN ((K-N)/(K)) = rN (1-(N)/(K))`
where `(dN)/(dt) =` rate of change in population size, `r =` intrinsic rate of natural increase, `N =` population density, `K =` carrying capacity and `((K-N)/(K)) =` environmental resistance.