Abstract

In the present work, a model on predator–prey system in which only the predator population is infected by a disease is proposed and analyzed. It is considered that both the prey and predator species are harvested at different harvesting rates and differential predation rates for susceptible, and infected predators are also taken. Conditions for the existence and stability of all feasible equilibrium points are obtained. It is observed that nonzero equilibrium point is always globally stable whenever it is locally stable. It has been noticed that the reduced predation rate of infected predator and controlled harvesting of predator species is helpful in controlling the spread of disease.

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