Logistic growth is captured by the Verhulst-Pearl logistic growth equation, represented as:

$ \frac{d N}{d t} = r N \left( \frac{K-N}{K} \right) $

In this equation:

$ N $ is the population size,

$ r $ is the intrinsic growth rate,

$ K $ is the carrying capacity,

$\frac{d N}{d t}$ indicates the rate of change of the population over time.

This model describes how population growth slows as it approaches the carrying capacity, providing a more realistic scenario than exponential growth models.