When does the growth rate of a population fol | vedclass

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(C) The logistic growth model is represented by the equation $dN/dt = rN(1 - N/K)$.Here,$dN/dt$ represents the population growth rate.For the growth r

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when $N/K$ is exactly one

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(C) The logistic growth model is represented by the equation $dN/dt = rN(1 - N/K)$.Here,$dN/dt$ represents the population growth rate.For the growth rate to be zero,$dN/dt = 0$.Substituting this into the equation: $0 = rN(1 - N/K)$.Since $r$ (intrinsic rate of natural increase) and $N$ (population size) are generally non-zero in an active population,the term $(1 - N/K)$ must be equal to zero.This implies $1 - N/K = 0$,which simplifies to $N/K = 1$.Therefore,the population growth rate becomes zero when the population size $N$ reaches the carrying capacity $K$ (i.e.,$N/K = 1$).

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

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