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The effect of harvesting policy on an eco-epidemiological model
(Maltepe Üniversitesi, 2019) Al-Jubourili, Karar Q.; Hussien, Reem M.; Alsaidi, Nadia M. G.
Considering to the high extent spread of epidemics in the general of individuals of the miserable communities that causes of extinction, we suggested and investigated an eco-epidemiological system consisting two different (SIS and SI) infectious diseases in prey population, which are transmitted within prey species by the contact. The selective optimal harvesting on predator species is proposed and analyzed. The mathematical model involves four first-order nonlinear ordinary differential equations, which characterized the interaction among the susceptible prey, infected prey, and predator. The predator feeding depends on predation prey according to Holling type-II functional response, as well as, the nonlinear incidence for describing the transition of infectious diseases is used. The existence of bionomic equilibria, uniqueness, boundedness of the system solution and the optimal proportionate harvesting policy are discussed