Ergodic stationary distribution and extinction of a n-species Gilpin-Ayala competition system with nonlinear random perturbations

被引：7

作者：

Jiang, Daqing ^{[1
,2
]}

Zhou, Baoquan ^{[1
]}

Han, Bingtao ^{[1
]}

机构：

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 120卷

基金：

中国国家自然科学基金;

关键词：

N-species Gilpin-Ayala competition system; Nonlinear noises; Ergodic property; Extinction; MODELS;

D O I：

10.1016/j.aml.2021.107273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considering the complexity of random variations in ecosystem, a n-species Gilpin- Ayala competition system with nonlinear noises is studied in this paper. Using our developed epsilon-stochastic criterion method in eliminating nonlinear perturbations, we construct several suitable Lyapunov functions to obtain the threshold for the existence and uniqueness of an ergodic stationary distribution, which reflects population coexistence in a long term. Moreover, we establish the sufficient conditions for population extinction. Finally, several numerical simulations are performed and our analytical results are discussed by comparison with the existing papers. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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