Question

Which of the following equations correctly represents Verhulast Pearl logistic growth?

• A. $dN/dt=rN\frac{(}{K-N}K)$
• B. $dN/dt=\frac{rN}{K}$
• C. $dN/dt=N(K-N)K$
• D. $dN/dt=\frac{r(k-n)}{k}$

Answer 1

The correct option is A $dN/dt=rN\frac{(}{K-N}K)$

S-shaped growth curve is also called Verhulast-Pearl logistic curve and is represented by the following equation.
$\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)=rN(1-\frac{N}{K})$
where $\frac{dN}{dt}=$ rate of change in population size, r = intrinsic rate of natural increase, N = population density, K= carrying
capacity and $\frac{(}{K-N}K)$ = environmental resistance.