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Question

The equation of Verhulst-Pearl logistic growth is $\frac{dN}{dt} = rN\left\lbrack \frac{K - N}{K} \right\rbrack$.

From this equation, K indicates:

Options

A.Carrying capacity
B.Population density
C.Intrinsic rate of natural increase
D.Biotic potential

Solution

Sol. [Key Concept: Carrying capacity in logistic growth]

In $\frac{dN}{dt} = rN\left( \frac{K - N}{K} \right)$,

N is population density,

r is the intrinsic rate of natural increase and K is carrying capacity.

K is the population size that the habitat can sustain with its available resources.

At N = K, the model gives zero net population growth. Hence, option (1).

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