Dynamical behavior of three species predator-prey system with mutual support between non refuge prey

In this paper, we study the effect of refuge and harvesting in a three species model of two prey and one predator, where the two prey refuge groups are helping each other and shielding from the predator group. The stability theory of nonlinear differential equations is used to analyze the model. Our study exhibits that, both the refuge and harvesting play a significant role on the stability of the system. Along with the local stability of the system, the global stability is also studied. Finally, numerical simulations are given to support the analytical conclusion.