Analysis of a stochastic delay predator-prey system with jumps in a polluted environment

被引：22

作者：

Liu, Qun ^{[1
]}

Chen, Qingmei ^{[1
]}

机构：

[1] Yulin Normal Univ, Sch Math & Informat Sci, Yulin 537000, Guangxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 242卷

关键词：

Predator-prey system; Stochastic perturbations; Levy noise; Delays; Pollution; LOTKA-VOLTERRA SYSTEM; MODIFIED LESLIE-GOWER; II SCHEMES; LEVY JUMPS; MODEL; POPULATION; TOXICANT; PERTURBATION; PERSISTENCE; STABILITY;

D O I：

10.1016/j.amc.2014.05.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a stochastic delay predator-prey system with Levy jumps in a polluted environment is proposed and investigated. We verify that there is a unique global non-negative solution which is permanent in time average under certain conditions. Furthermore, the non-permanence of our model is investigated. Some recent results are improved and extended greatly. (C) 2014 Published by Elsevier Inc.

引用

页码：90 / 100

页数：11

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