Global asymptotic stability of a Lotka-Volterra competition model with stochasticity in inter-specific competition

被引：11

作者：

Xiong, Junjing ^{[1
]}

Li, Xiong ^{[1
]}

Wang, Hao ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 89卷

关键词：

A stochastic Lotka Volterra competition model; Global asymptotic stability; Inter-specific competition; COEXISTENCE;

D O I：

10.1016/j.aml.2018.09.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we first propose a two-species Lotka-Volterra competition model with the stochastic terms related to the inter-specific competition rates and the coexistence equilibrium of the deterministic model. Then we establish the global asymptotic stability of the coexistence equilibrium. Finally, we provide some discussions and numerical examples to illustrate our mathematical results. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：58 / 63

页数：6

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