Dynamical Behavior of Predator-Prey Model with 'SIS Diseases in Prey Involving A Harvesting in Infected Prey

Abstract

The mathematical model proposed in this article accounts for two types of predator-prey system. It was suggested that the model includes SIS in prey types, which is expansion by proximity between infected and susceptible species, and there is harvest in predator species.The epidemic cannot be transmitted from prey to predator during the predation process. The equations that represent the interaction between infected individuals in the prey population and susceptible individuals in the predator population are ordinary differential equations. Based on what was assumed above, any Possible balance points can be analyzed using methods of mathematical .Depending on the numerical simulations, the dynamics of the system’s behavior were studied local and the dynamic behavior was studied globally using Lyabnov functions, and the variation of harvest and disease on dynamics of model’s behavior was also discussed.