Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching

被引：0

作者：

Zhang, Haisu ^{[1
]}

Song, Yi ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

COMPLEXITY | 2021年 / 2021卷

关键词：

CHEMOSTAT MODEL; ERGODIC PROPERTY; EPIDEMIC MODEL; THRESHOLD;

D O I：

10.1155/2021/4920018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a stochastic microbial flocculation model with regime switching is developed and analyzed. By proposing a suitable stochastic Lyapunov function, the existence and ergodicity of a stationary distribution for the system are proved. Then, the extinction of microorganisms is discussed under appropriate conditions and sufficient conditions for extinction are obtained. Finally, the results of the theoretical analysis are illustrated by numerical simulation.

引用

页数：14

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