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When does the growth rate of a populatio...

When does the growth rate of a population following the logistic model equal zero? The logistic model is given as `Dn//dt =Rn (1-N//K)`.

A

when N nears the carrying capacity of the habitat

B

when `N//K` quals zero

C

when death rate is greater than birth rate

D

when `N//K` is exactly one

Text Solution

Verified by Experts

The correct Answer is:
D
In logistic growth model population growth equation is descrebed as
` (dN)/(dt)=rN((K-N)/(K))`
where, N=Population density at time t
r=Intrinsic rate of natural increase
K=Carrying capacity
when, `(N)/(K)=1 "then" (K-N)/(K)=0`
Therefore, `(dN)/(dt)=0`
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