Pullback attractor for random chemostat model driven by colored noise

被引：9

作者：

Zhang, Xiaofeng ^{[1
]}

Yuan, Rong ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 112卷

基金：

中国国家自然科学基金;

关键词：

Random chemostat model; Ornstein-Uhlenbeck process; Colored noise; Random dynamical system; Pullback attractor;

D O I：

10.1016/j.aml.2020.106833

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the theory of the Ornstein-Uhlenbeck process and random dynamical system, in this paper, a random chemostat model driven by colored noise is considered. First, we prove the existence and uniqueness of the global positive solution for random chemostat system, and we also state some conclusions about the existence of random pullback attractor. Finally, some conclusions are given. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：5

共 15 条

[1]

Arnold L., 1998, Springer Monographs in Mathematics

[2]

Caraballo T., 2016, Applied nonautonomous and random dynamical systems: applied dynamical systems, DOI 10.1007/978-3-319-49247-6

[3] MODELING AND ANALYSIS OF RANDOM AND STOCHASTIC INPUT FLOWS IN THE CHEMOSTAT MODEL [J].