Differential Equations And Their Applications By Zafar Ahsan Link -

Dr. Rodriguez and her team were determined to understand the underlying dynamics of the Moonlight Serenade population growth. They began by collecting data on the population size, food availability, climate, and other environmental factors.

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

dP/dt = rP(1 - P/K) + f(t)