Question

Which of the following equations relating to logistic population growth is correct?

• A. $dN=rN-\frac{N}{K}$
• B. $\frac{dN}{dt}=rN-\frac{N}{K}$
• C. $\frac{dN}{dT}=rN-\frac{1}{K}$
• D. $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

Answer 1

The correct option is D $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

The correct equation is
$\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$
Where r = Growth rate of the population
N = Number of individuals in the population/Population size
t=time
d=conventional mathematical symbol for instantaneous change
K= carrying capacity