New criteria on persistence in mean and extinction for stochastic competitive Lotka-Volterra systems with regime switching

被引：12

作者：

Liu, Lei ^{[1
]}

Shen, Yi ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 430卷 / 01期

基金：

美国国家科学基金会;

关键词：

Persistence in mean; Extinction; Partial permanence and partial extinction; Stochastic competitive; Lotka-Volterra systems; Regime switching; POPULATION-DYNAMICS; RANDOM PERTURBATION; STATIONARY DISTRIBUTION; PERMANENCE; BEHAVIOR; MODEL;

D O I：

10.1016/j.jmaa.2015.04.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns persistence in mean and extinction for stochastic competitive Lotka-Volterra systems with regime switching. By using some novel stochastic analysis techniques, sufficient criteria for the partial permanence and partial extinction are established. Some novel sufficient conditions on persistence in mean and extinction are also obtained. Nontrivial examples are provided to illustrate our results. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：306 / 323

页数：18

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