Modelling

Logistic Functions

The general form of a logistic function is:

\[\boxed{\frac{L}{1+Ce^{-kx}}}, \quad \text{where} \quad L, C, k \in \mathbb{R}^+,\]

and $L$ is the function’s maximum value, $C$ is a constant resultant from the initial conditions, and $k$ is the growth rate.