A note on the stationary distribution of the stochastic chernostat model with general response functions

被引：38
作者：
Wang, Liang [1 ,2 ]
Jiang, Daqing [1 ,3 ,4 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
[3] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
[4] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 73卷
关键词：
Chemostat; General response functions; Ergodicity; Stationary distribution; MATHEMATICAL-MODEL; GLOBAL DYNAMICS; CHEMOSTAT; COMPETITION;
D O I：
10.1016/j.aml.2017.04.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A model of the chemostat involving stochastic perturbation is considered. Instead of assuming the familiar Monod kinetics for nutrient uptake, a general class of functions is used which includes both monotone and non-monotone uptake functions. Using the stochastic Lyapunov analysis method, under restrictions on the intensity of the noise, we show the existence of a stationary distribution and the ergodicity of the stochastic system. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：22 / 28
页数：7
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