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

Question

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

Tardigrade Admin · Accepted Answer

S-shaped growth curve is also called Verhulst-Pearl logistic curve and is represented by the following equation: (dN/dt)=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.

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

$d N / d t = r N (\frac{K - N}{K})$

$d N / d t = \frac{r N}{K}$

$d N / d t = \frac{N ( K - N )}{K}$

$d N / d t = \frac{r ( K - N )}{K}$

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

dN/dt=rN(KK−N​)

dN/dt=KrN​

dN/dt=KN(K−N)​

dN/dt=Kr(K−N)​

$d N / d t = r N (\frac{K - N}{K})$

$d N / d t = \frac{r N}{K}$

$d N / d t = \frac{N ( K - N )}{K}$

$d N / d t = \frac{r ( K - N )}{K}$