The Impact of Switching on the Dynamics of Prey-Predator Model for a Switching Tendency

In this paper, a mathematical model, consists from a stage structured predator interacting withprey which is assumed to live in two distinct habitats, and the predator has the tendency to switchamong these habitats, is proposed and analyzed. The existence and uniqueness of the solution of theproposed model are discussed. The existence and the stability analyses of all possible equilibriumpoints are studied. Because of difficulty of analytical computation the global stability of theseequilibrium points and the persistence of the model will be studied numerically