The model of exponential growth extends the logistic growth of a limited resource. The solution of the differential equation describing an S-shaped curve, a sigmoid. In the center of the development, the population is growing the fastest, until it is slowed by the limited resources.
At the turning point of the logistic growth function value equal to half the saturation limit.
Maximum growth rate
The maximum growth rate is achieved in the turning point.
Growth of populations with limited resources