Asymptotic behavior of a stochastic microorganism flocculation model with time delay

被引：3
|
作者：
Zhang, Haisu [1 ]
Zhang, Tongqian [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 121卷
关键词：
Flocculation; Time delay; Stochastic perturbation; Asymptotic behavior; CHEMOSTAT MODEL;
D O I：
10.1016/j.aml.2021.107384
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a microorganism flocculation model with stochastic perturbation and time delay. By constructing some suitable Lyapunov functions, the asymptotic behaviors of the solution of the stochastic model around the equilibria of the corresponding deterministic model are investigated. We find that the average in time of the second moment of the solutions of the stochastic system is bounded to a relatively small noise. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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