PERSISTENCE AND EXTINCTION OF A STOCHASTIC DELAY COMPETITIVE SYSTEM UNDER REGIME SWITCHING

被引：1

作者：

Muhammadhaji, Ahmadjan ^{[1
]}

Halik, Azhar ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2019年 / 2019卷

关键词：

Competitive system; Markov switching; Delay; Persistence; Extinction; PERIODIC-SOLUTIONS; MODEL;

D O I：

10.23952/jnfa.2019.36

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of two species stochastic delay Lotka-Volterra competitive system under regime switching is proposed and discussed. Some sufficient conditions on the extinction, non-persistence in the mean and weak persistence of the solutions are established. The critical value between weak persistence and extinction is obtained.

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页数：9

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