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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:430

Article

Liu, Lei¹  Shen, Yi² 

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

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

关键词: Persistence in mean;    Extinction;    Partial permanence and partial extinction;    Stochastic competitive;    Lotka-Volterra systems;    Regime switching;   

DOI  :  10.1016/j.jmaa.2015.04.056

来源: Elsevier

【 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.

【 授权许可】

Free