Today we talked about the logistic population growth model, which is just another kind of differential equation. The one we learned before this, the exponential growth model is in the form dy/dt = kt, while the logistic model is in the form dy/dt = ky(1-(y/L)), where L is the carrying capacity of the environment where the population lives (determined through research).

Given this growth model, we can determine both the long term trends of this population and when the rate of growth of the population is the largest. Although we do not know how to solve the logistic differential equation yet, we know that its solution is y = L / (1 + Ce ^ -kt).