Predator-Prey Model

This is a simple predator-prey model with type I or II functional response (depending on parameter choices). The model is also known as the Lotka–Volterra equation. Prey grows logistically and is harvested by predators. In the model, predators are specialists (i.e., they eat only one particular prey species for survival and growth), and their predation pattern can be either type I or II functional response. In type I, the predation rate depends only on the prey density ($b=0$), i.e., how abundant the prey is. In type II, the predation rate is also affected by the processing time of consumption ($b!=0$), i.e., it takes time for some predators to digest/process their meal.

Reference

Lotka, A.J., Elements of Physical Biology, Williams and Wilkins, (1925).