Susceptible-Infected-Treatment of Prey-Predator Population Model

Abstract

This paper describes a mathematical model with Susceptible-Infected-Treatment under disease infection in prey population. Moreover, we assume that the prey species has a viral illness, dividing into classes of susceptible and infected populations. One technique of control is self quarantining to separate healthy prey from diseased prey, and another method is a treatment that lowers the disease’s mortality rate. The system’s several equilibria are examined, and their stability analyses around the interior equilibrium are discussed. Routh-Hurwitz stability criteria is used for local stability analysis. Through numerical analysis using a simulated set of parameter values, we have shown the analytical results using Maple programmes.