An asymptote in a logistic growth curve is ob | vedclass

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Question

(B) The logistic growth model is represented by the equation $\frac{dN}{dt} = rN \left( \frac{K-N}{K} \right)$.In this equation,$N$ is the population

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$K = N$

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(B) The logistic growth model is represented by the equation $\frac{dN}{dt} = rN \left( \frac{K-N}{K} \right)$.In this equation,$N$ is the population density,$r$ is the intrinsic rate of natural increase,and $K$ is the carrying capacity.When the population size $N$ reaches the carrying capacity $K$,the term $\left( \frac{K-N}{K} \right)$ becomes zero.Consequently,$\frac{dN}{dt} = 0$,meaning the population growth rate becomes zero and the population size stabilizes.This stabilization point on the graph,where the curve flattens out,is known as the asymptote,which occurs when $N = K$.

An asymptote in a logistic growth curve is obtained when:

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