Predator-Prey Dynamics with Type-Two Functional Response
Predator-Prey Dynamics with Type-Two Functional Response
Stable predator-prey cycles are predicted by oversimplified Lokta–Volterra equations, but if biological realism is added, the dynamics often turn into damped oscillations or even monotonic damping. This Demonstration shows the type-two functional response for the predator and the theta-logistic growth for the prey. Stable limit cycles can occur only if—as a necessary but not sufficient condition—the prey isocline has a (local) maximum and its mode is at higher prey density than its crossing point with the predator isocline.