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Dynamical Analysis of an Eco-epidemiological Prey Predator Model with Migration and Vaccination

Dawit Melese, Halefom Kiros

Abstract



In this paper, we present and analyze an eco-epidemiological model of a prey predator system where both prey and predator population are affected by a disease. Each of the prey and predator population is divided into two categories, susceptible and infected. The susceptible prey and susceptible predator assumed to migrate at a constant rate; the infected prey and infected predator are assumed to get vaccinated. Based on those assumptions a four dimensional mathematical model is derived. The dynamical behavior of the resulting system: boundedness of solutions, existence and stability conditions of the biologically feasible equilibrium points, is analyzed mathematically. Extensive numerical simulations are carried out to validate our analytical findings.

Keywords


Eco-epidemiological model, Disease in prey, Disease in predator, Migration, Vaccination, Local stability.

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