Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! The Logistic Equation and Models for Population – Example 1, part 1. In this video, we have an example where biologists stock a lake with fish and after one year the population has tripled. Knowing the carrying capacity, I find a formula for the the population at time ‘ t ‘ using the analytic solution.