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

Zhangzhi Wei, Zheng Wu, Ling Hu and Lianglong Wang

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-7

Abstract:

This paper is devoted to the dynamics of a stochastic modified Bazykin predator-prey system with Lévy 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 Itô formula and some inequalities on stochastic analysis. At last, some simulations are provided to check the main results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8479101

DOI: 10.1155/2018/8479101

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