Bifurcation and Dynamic Analyses of a Diseased Predator-prey Model With Prey Refuge

Abstract This article considers an eco-epidemiological model involving infection and refuge in the prey population. The non-negativity of the solution, the existence, and the local stability of all feasible equilibrium points are investigated. Furthermore, the condition to satisfy the existence of Hopf bifurcation near the coexisting equilibrium is derived. Some simulation results were also done to support the primary analytical findings.