Which one of the following equations represen | vedclass

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(B) The Verhulst$-$Pearl Logistic Growth model describes population growth in an environment with limited resources.In this model,the population growt

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

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(B) The Verhulst$-$Pearl Logistic Growth model describes population growth in an environment with limited resources.In this model,the population growth rate $\frac{dN}{dt}$ is given by the equation $\frac{dN}{dt} = rN \left( \frac{K-N}{K} \right)$.Here,$N$ represents the population density at time $t$,$r$ is the intrinsic rate of natural increase,and $K$ is the carrying capacity of the environment.This equation shows that as $N$ approaches $K$,the term $\left( \frac{K-N}{K} \right)$ approaches zero,causing the population growth to slow down and eventually stabilize at the carrying capacity.

Which one of the following equations represents the Verhulst$-$Pearl Logistic Growth of population?

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