This paper concerns with a modified Leslie-Gower predator-prey model. In this model, it is assumed that prey is infected by a disease with linear incidence rate. Consequently, the population is classified into three subpopulations, instead of two subpopulations, namely susceptible prey, infected prey, and predator. Another modification carried out is by applying an impulsive control to the prey population when the number of prey exceeds such a threshold. Dynamical analysis conducted in this research includes determination of equilibrium points, investigation on the existence condition of the equilibriums, and local stability analysis. There are four equilibrium points, namely infected prey and predator extinction equilibrium, predator extinction equilibrium, free disease equilibrium and endemic equilibrium. The first two equilibriums are not stable, while the free disease equilibrium is asymptotically stable under a certain condition. The endemic equilibrium exists and is asymptotically stable when the free disease equilibrium is unstable. By performing some numerical simulations, it is found that the impulsive control changes the   stability of equilibrium point from asymptotically stable into non-asymptotically stable.

Leslie-Gower predator-prey model, infected prey, impulsive control, equilibrium point, local stability.