The Dynamics of Holling Type IV Prey Predator Model with Intra- Specific Competition

In this paper a prey-predator model involving Holling type IV functional response and intra-specific competition is proposed and analyzed. The local stability analysis of the system is carried out. The occurrence of a simple Hopf bifurcation is investigated. The global dynamics of the system is investigated with the help of the Lyapunov function and poincare-bendixson theorem. Finally, the numerical simulation is used to study the global dynamical behavior of the system. It is observed that, the system has either stable point or periodic dynamics.