Question

The logistic population growth is expressed by the equation.

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

Answer 1

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

The logistic equation (sometimes called the Verhulst model or logistic growth curve) is a model of population growth first published by Pierre Verhulst.

The continuous version of the logistic model is described by the differential equation is:

(dN)/(dt)=(rN(K-N))/K. (where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population).

So, the correct option is ' (dN)/(dt)=(rN(K-N))/K'.