The Dynamics of Prey-Predator Systems with A Prey Refuge. Prey-predator systems incorporating prey refuge

      Аннотация: In this work , A stability analysis of an eco-epidemiological model incorporating prey refuge is investigated . Two types of prey- predator models with disease in a prey incorporating prey refuge are proposed and analyzed Both models are represented mathematically by system of nonlinear differential equations. The existence, uniqueness and boundedness of the solutions of these two models and the permanence are investigated. The local and global stability conditions of all possible equilibrium points are established. Finally, numerical simulation is used to study the global dynamics of both models.

Ключевые слова: Numerical Simulation, global stability, dynamical system, local stability