Eco-epidemilogical Model Analysis of Pery-predator System

In this paper disease transmission dynamics of predator-prey population is studied. Thus we have taken a prey-predator population of species containing of three compartment is developed. These species are Susceptible Prey, Infected Prey, and predator. The functional response of predation is assumed to follow modified holling type II functional response & a governing equation non-linear ODE is constructed. Existence, Positivity, and boundedness of solutions to the governing equations are checked. Stability analysis of steady state points of the governing equation has been done by taking different restrictions. Local & global stability of disease free steady state point, endemic steady state points have been studied with the concept of variation matrix & Liapunove functions respectively. Basic reproduction number is drived and appropriate values are pluged to the parameters. Numerical simulations are done with the help of DEDiscover software that clarify the analytical results.