👉 The mathematics behind modeling population growth, such as the logistic growth model, involves differential equations. The logistic growth equation, dP/dt = rP(1 - P/K), describes how the rate of change of a population (dP/dt) depends on the current population size (P), the intrinsic growth rate (r), and the carrying capacity (K) of the environment. Here, P represents the population size at time t, r is the rate at which the population grows per unit time when resources are unlimited (intrinsic growth rate), and K is the maximum population size the environment can sustain indefinitely. This equation captures the dynamics of growth slowing as the population approaches K due to limited resources, illustrating how populations stabilize around this carrying capacity.
