Stability analysis of a diseased Prey - Predator - Scavenger system incorporating migration and competition

In this paper, a prey-predator-scavenger model is proposed and analyzed. It is assumed that the model considered the effect of disease on the prey. Firstly, the existence, uniqueness and boundedness of the solution of the model are discussed. Secondly, we studied the existence and local stability of all equilibrium points. Furthermore, some of the Sufficient conditions of the global stability of the positive equilibrium are established using suitable Lyapunov functions. Finally, those theoretical results are demonstrated with numerical simulations.

Keywords:

prey-predetor-scavenger model , Stability analysis , migrations