Stability and bifurcation of stochastic chemostat model

被引：0
|
作者：
Nia, Mehdi Fatehi [1 ]
Khajoei, Najmeh [1 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
来源：
JOURNAL OF MATHEMATICAL MODELING | 2023年 / 11卷 / 02期
关键词：
Stochastic chemostat model; Lyapunov exponent; D-bifurcation; P-bifurcation;
D O I：
10.22124/jmm.2023.24214.2165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to study dynamics of stochastic chemostat model. In this order, Taylor expansions, polar coordinate transformation and stochastic averaging method are our main tools. The stability and bifurcation of the stochastic chemostat model are considered. Some theorems provide sufficient conditions to investigate stochastic stability, D-bifurcation and P-bifurcation of the model. As a final point, to show the effects of the noise intensity and illustrate our theoretical results, some numerical simulations are presented.
引用
收藏
页码：375 / 394
页数：20
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