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

被引：17
|
作者：
Bai, Ling [1 ]
Li, Jingshi [1 ]
Zhang, Kai [1 ]
Zhao, Wenju [2 ]
机构：
[1] Jilin Univ, Coll Math, Changchun 130061, Peoples R China
[2] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 233卷
基金：
中国国家自然科学基金;
关键词：
Levy noise; Ito formula for Levy process; The strong number law of local martingale; Persistence; POPULATION-DYNAMICS; SYSTEM;
D O I：
10.1016/j.amc.2013.12.187
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a non-autonomous ratio-dependent predator-prey system driven by Levy 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. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：480 / 493
页数：14
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