An eco-epidemiological system with Levy noise and white noise is proposed. In this prey-predator system, assume that the predator population is infected by disease and divided into two classes: susceptible predator and infected predator. The existence of global positive solution is derived. Threshold conditions of extinction and persistence in the mean for prey and predator population are given by Ito's formula and comparison theorem for stochastic model. The long-time behavior of this random system is also discussed by constructing suitable Lyapunov function, which shows the relationship betw...
