A study of a prey-predator system with disease in prey

Abstract EN

In this paper, the dynamical behavior of some eco-epidemiological models is investigated.

Two types of prey-predator models involving infectious disease in prey population, which divided it into two compartments; namely susceptible population S and infected population I, are proposed and analyzed.

The proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals.

The model are represented mathematically by the set of nonlinear differential equations .The existence, uniqueness and boundedness of this model are investigated.

The local and global stability conditions of all possible equilibrium points are established.

Finally, the numerical simulations are used to study the global dynamics of the model