Periodic solution for stochastic non-autonomous multispecies Lotka-Volterra mutualism type ecosystem

被引：11
|
作者：
Han, Qixing [1 ,2 ]
Jiang, Daqing [1 ]
机构：
[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
[2] Changchun Normal Univ, Sch Math, Changchun 130032, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 262卷
基金：
中国国家自然科学基金;
关键词：
Stochastic mutualism model; Periodic solution; Globally attractive; Extinction; STATIONARY DISTRIBUTION; ASYMPTOTIC-BEHAVIOR; SYSTEM; EXISTENCE; STABILITY;
D O I：
10.1016/j.amc.2015.04.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper characterizes some qualitative dynamic properties of a stochastic non-autonomous multi-species mutualism model, with continuous periodic parameters. Using Khasminskii theory of stability with suitable Lyapunov functions, and M-Matrices, sufficient conditions are established to guarantee existence of positive periodic solutions to the system. We also provide conditions for the global attractiveness of the latter, or extinction of all species for sufficiently high volatility levels. Results are finally supported by numerical computations. (C) 2015 Published by Elsevier Inc.
引用
收藏
页码：204 / 217
页数：14
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