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This paper is devoted to the dynamics of a stochastic modified Bazykin predator-prey system with Levy jumps. First, we show that the system has a unique global positive solution and give some properties of solutions. Then, some sufficient conditions for persistence and extinction are derived by Ito formula and some inequalities on stochastic analysis. At last, some simulations are provided to check the main results.

Persistence and Extinction of a Stochastic Modified Bazykin Predator-Prey System with Lévy Jumps