In Verhulst-Pearl Logistic Growth equation, carrying capacity is represented by

This type of population growth is called Verhulst-Pearl Logistic Growth and is described by the following equation:
$\frac{\mathrm{dN}}{\mathrm{dt}}=\mathrm{rN} \left[\frac{\mathrm{K}-\mathrm{N}}{\mathrm{K}}\right]$

Where N = Population density at time t
r = Intrinsic rate of natural increase
K = Carrying capacity