Title of article :
Stability analysis of a diseased Prey - Predator - Scavenger system incorporating migration and competition
Author/Authors :
Ali Yousif, Marwah Department of Mathematics - College of Science - University of Baghdad, Baghdad, Iraq , Fadhil Al-Husseiny, Hassan Department of Mathematics - College of Science - University of Baghdad, Baghdad, Iraq
Abstract :
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
Journal title :
International Journal of Nonlinear Analysis and Applications
