Threshold dynamics in a stochastic chemostat model under regime switching

被引：4
|
作者：
Wang, Liang [1 ]
Jiang, Daqing [2 ,3 ,4 ]
Feng, Tao [5 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
[2] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
[3] China Univ Petr East China, Minist Educ, Key Lab Unconvent Oil & Gas Dev, Qingdao 266580, Peoples R China
[4] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Jeddah, Saudi Arabia
[5] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2022年 / 599卷
基金：
中国国家自然科学基金;
关键词：
Stochastic chemostat; Regime switching; Persistence in mean; Extinction; Ergodicity; BREAK-EVEN CONCENTRATION; STATIONARY DISTRIBUTION; ASYMPTOTIC PROPERTIES; ERGODIC PROPERTY; COMPETITION; SYSTEMS; PERSISTENCE; EXCLUSION; STABILITY;
D O I：
10.1016/j.physa.2022.127454
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A stochastic chemostat model in random environments that is driven by Brownian motions and subjected to Markov regime switching is considered. The new break-even concentration, i.e., critical value between persistence in mean and extinction is explored for the microorganism species. Moreover, sufficient conditions for ergodicity and positive recurrence is established by using stochastic Lyapunov analysis. Numerical simulations are accomplished to verify the analytical results. (C) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Ergodicity and threshold behaviors of a predator-prey model in stochastic chemostat driven by regime switching
    Wang, Liang
    Jiang, Daqing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) : 325 - 344
  • [2] The threshold dynamics in a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching
    Hu, Junna
    Teng, Zhidong
    Li, Zhiming
    Wen, Buyu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 529
  • [3] Ergodic property of the chemostat: A stochastic model under regime switching and with general response function
    Wang, Liang
    Jiang, Daqing
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 27 : 341 - 352
  • [4] Ergodic stationary distribution of a stochastic chemostat model with regime switching
    Gao, Miaomiao
    Jiang, Daqing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 524 : 491 - 502
  • [5] The threshold of a stochastic Susceptible-Infective epidemic model under regime switching
    Liu, Qun
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 21 : 49 - 58
  • [6] Stochastic population dynamics under regime switching
    Luo, Qi
    Mao, Xuerong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 69 - 84
  • [7] DYNAMICS OF A STOCHASTIC HIV/AIDS MODEL WITH TREATMENT UNDER REGIME SWITCHING
    Gao, Miaomiao
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    Ahmad, Bashir
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (06): : 3177 - 3211
  • [8] Dynamics of a stochastic population model with Allee effects under regime switching
    Ji, Weiming
    Liu, Meng
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [9] Dynamics of a stochastic population model with Allee effects under regime switching
    Weiming Ji
    Meng Liu
    Advances in Difference Equations, 2020
  • [10] Stochastic SIRS model under regime switching
    Han, Zhixia
    Zhao, Jiandong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 352 - 364
12345