Question

'Verhulst -Pearl' is associated with the equation

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

Answer 1

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

• No population can grow exponentially for very long. Sooner or later every population must encounter either difficult environmental conditions or shortages of its requisites for reproduction. The rate of reproduction is proportional to both the existing population and the number of available resources, all else being equal. This is shown in the above logistic population growth model and the Verhulst-Pearl equation associated with it.
• In this equation, N represents the population size, r represents the population growth rate, and K represents carrying capacity. Here K is the limiting value of N.
• So the correct option is A.