Differential Equations And Their Applications By Zafar Ahsan Link -

The logistic growth model is given by the differential equation:

where P(t) is the population size at time t, r is the growth rate, and K is the carrying capacity. The logistic growth model is given by the

dP/dt = rP(1 - P/K)

After analyzing the data, they realized that the population growth of the Moonlight Serenade could be modeled using a system of differential equations. They used the logistic growth model, which is a common model for population growth, and modified it to account for the seasonal fluctuations in the population. r is the growth rate