$\huge \frac{\color{skyblue}\d P}{\color{pink}\d t} = {\color{thistle}k}{\color{skyblue}P}\pa{1 - \frac{\color{skyblue}P}{\color{thistle}M} } $ Where: - $P(t)$ is the population size at time $t$ - $M$ is the carrying capacity (maximum population) - $k$ is the growth rate of the population