Global Dynamics of a Predator–Prey System with Cooperative Hunting

We consider a predator–prey system with cooperative hunting. The parameter space of the is divided into several mutually exclusive regions. Based on investigation dynamical properties in each region, we provide complete description global dynamics, including stability, Hopf bifurcation and its directions, existence limit cycles. By comparing this system’s dynamics to those without hunting, it found that hunting beneficial coexistence prey predator. When mortality predator small, cooperation does not affect populations but affects pattern coexistence.