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
相关论文
共 50 条
  • [1] Stochastic stability and bifurcation in a macroeconomic model
    Li, Wei
    Xu, Wei
    Zhao, Junfeng
    Jin, Yanfei
    CHAOS SOLITONS & FRACTALS, 2007, 31 (03) : 702 - 711
  • [2] Hopf bifurcation of a chemostat model
    Qu, Rongning
    Li, Xiaofang
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3541 - 3552
  • [3] Stability and bifurcation in a stochastic vocal folds model
    Nia, Mehdi Fatehi
    Akrami, Mohammad Hossein
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 79
  • [4] Stochastic Stability and Bifurcation for the Selkov Model with Noise
    Akrami, Mohammad Hossein
    Nia, Mehdi Fatehi
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2021, 12 (01): : 39 - 55
  • [5] Bifurcation and Stability for the Unstirred Chemostat Model with Beddington-DeAngelis Functional Response
    Li, Shanbing
    Wu, Jianhua
    Dong, Yaying
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (04): : 849 - 870
  • [6] Bifurcation analysis of a chemostat model with a distributed delay
    Ruan, SG
    Wolkowicz, GSK
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (03) : 786 - 812
  • [7] The stochastic stability and bifurcation behavior of an Internet congestion control model
    Huang, Zaitang
    Yang, Qi-Gui
    Cao, Junfei
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 1954 - 1965
  • [8] Stochastic stability of an autoresonance model with a center-saddle bifurcation
    Sultanov, O. A.
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENIY-PRIKLADNAYA NELINEYNAYA DINAMIKA, 2024, 32 (02): : 147 - 159
  • [9] Research on Stability and Bifurcation of Nonlinear Stochastic Dynamic Model of Wheelset
    Wang P.
    Yang S.
    Liu Y.
    Liu P.
    Zhao Y.
    Zhang X.
    Jixie Gongcheng Xuebao/Journal of Mechanical Engineering, 2023, 59 (10): : 210 - 225
  • [10] Stability and bifurcation control for a fractional-order chemostat model with time delays and incommensurate orders
    Ma, Xiaomeng
    Bai, Zhanbing
    Sun, Sujing
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (01) : 437 - 455
12345