dN/dt = r_maxN [(K - N)/K] represents

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The equation is the logistic growth model, which is used to describe a population that has limited resources or a carrying capacity (K), such that the growth rate slows down as the population approaches the carrying capacity. The term [(K - N)/K] represents the fraction of the carrying capacity that is still available for population growth. Therefore, as the population approaches the carrying capacity, the fraction approaches zero, and the growth rate approaches zero. The logistic growth model is often used to model population growth in ecology and in other fields such as epidemiology and economics.

DN/dt = RmaxN [(K - N)/K] Represents

DN/dt = R_maxN [(K - N)/K] Represents