A Mathematical Study on a Diseased Prey-Predator Model with Predator Harvesting
Keywords:Pre-predator model, Equilibrium points, Stability Analysis, Non-linear differential equations
In this paper, we present a mathematical model for a prey-predator system with infectious disease in the prey population. We assumed that there is harvesting from the predator and a defensive property against predation. This model is constituted by a system of nonlinear decoupled ordinary first order differential equations, which describe the interaction among the healthy prey, infected prey and predator. The existence, uniqueness and boundedness of the system solutions are investigated. Local stability of the system at equilibrium points is discussed.
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