In this research a predator–prey model involving disease in a prey and prey refuge has been proposed and analyzed. It is assumed that only the prey species is divided into two classes infected and susceptible and disease transmitted by contact between a prey species. The existence, boundedness , permanence of the model has been investigated. The local and global stability conditions of all possible equilibrium points are established. Finally, numerical simulation is carried out to study the global dynamics of the model.
Keyword: Predator–prey model; prey refuge; local stability; global stability; Permanence.