An Eco-epidemiological Mathematical Model with treatment and disease infection in both prey and predator population

We propose and analyze a deterministic mathematical model with treatment and disease infection in both prey and predator population to study the effect of treatment on infected population that spread the disease. The model describes two classes of infections that a.re infected prey and predator. The susceptible prey is assumed to become infected when come into contact with infected prey while susceptible predator gets infection during the predation time. Sufficient conditions for the local stability of the equilibrium point for the basic Eco-epidemiological model and model with treatment a.re presented and their global stability of co-existence equilibrium point are also qualitatively performed. The Positivity and boundness of the solutions were analysed quantitatively. Further­ more, it is shown that disease free equilibrium with the absence of disease is locally asymptotically stable and co-existence equilibrium point is globally asymptotically stable. Numerical simulations of the model are carried out showing the effect of treatment on infected prey and predator and then compared with the figure of the model without treatment and infected predator. Finally, we concluded that the disease can be eradicated through the treatment so as after long period of time we remain with only susceptible prey and predator.