Stationary distribution of a chemostat model with distributed delay and stochastic perturbations

被引：13

作者：

Gao, Miaomiao ^{[1
]}

Jiang, Daqing ^{[2
,3
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

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

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res GRP, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 123卷

基金：

中国国家自然科学基金;

关键词：

Food chain chemostat model; Distributed delay; Stochastic perturbations; Stationary distribution; BEHAVIOR;

D O I：

10.1016/j.aml.2021.107585

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a Lotka-Volterra food chain chemostat model that incorporates both distributed delay and stochastic perturbations. We obtain sufficient conditions for the existence of stationary distribution by constructing suitable Lyapunov functions. Stationary distribution indicates the two species in the chemostat can coexist in the long term. (C) 2021 Published by Elsevier Ltd.

引用

页数：7

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