Abstract

This paper presents a mathematical model for a prey-predator system in which there are two prey species and one predator species where prey population is taken as competitive of the infected-susceptible species. We analyze and propose the positive, boundedness, and positive equilibrium point of trivial, disease-free, and interior equilibrium point with stability analysis criteria for local stability and applied harvesting effort to control the spread of disease. We analyze numerical simulations showing different scenarios from the maple 15 and 20 programming.

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