The stationary distribution of a microorganism flocculation model with stochastic perturbation

被引：19
作者：
Zhang, Haisu [1 ]
Zhang, Tongqian [1 ,2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Shan, Qingdao 266590, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 103卷
关键词：
Flocculation; Stationary distribution; Threshold;
D O I：
10.1016/j.aml.2020.106217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a microorganism flocculation model by introducing white noise into the model. By constructing a proper Lyapunov function, we prove that there is a stationary distribution. Moreover, we get the threshold similar to deterministic system. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：8
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