Analysis of a stochastic ratio-dependent predator–prey model driven by Lévy noise

In this paper we consider a non-autonomous ratio-dependent predator–prey system driven by Lévy noise. Firstly, we show the existence of global positive solution and stochastic boundedness. Secondly, the conditions of persistent in mean and extinction are established and we also give the asymptotic properties of the solution. Finally, we simulate the model to illustrate our main analytical results.