Switching Effects Driven by Predation on Diffusive Predator Prey System

In the present study, a mathematical model of three species dynamical system is formulated with the interaction among prey, middle predator and top predator. Here, Holling II functional response consisting of carrying capacity and constant intrinsic growth rate of prey population is taken into account. Also, we have introduced switching intensity in predator population and studied its impact on the stability behavior. Existence of different bifurcation points is derived by considering carrying capacity of prey population as a bifurcation parameter. Furthermore, analysis of conditions for instability in diffusive system is carried out. Computer simulations are used to support our analytical finding.