Verhulst Logistic Growth Model
Logistic model is appropriate population growth model where ecosystems have limited resources putting a cap on the maximum sustainable population, also known as carrying capacity. Logistic population model is given by the differential equation
, where k is a positive constant and K is the carrying capacity.
For more on growth models check my online book
"Flipped Classroom Calculus of Single Variable"
https://versal.com/learn/vh45au/