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Ergodic stationary distribution of a stochastic chemostat model with regime switching

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  • Gao, Miaomiao
  • Jiang, Daqing

Abstract

In this paper, a stochastic chemostat model with single-species growth on two perfectly substitutable nutrients under telegraph noise is investigated. Firstly, we prove the solution of the system is positive and global. Then we establish sufficient conditions for the existence of ergodic stationary distribution of the model by constructing suitable Lyapunov functions with regime switching. Finally, numerical simulations are carried out to demonstrate our theoretical results.

Suggested Citation

  • Gao, Miaomiao & Jiang, Daqing, 2019. "Ergodic stationary distribution of a stochastic chemostat model with regime switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 491-502.
    • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:491-502
    DOI: 10.1016/j.physa.2019.04.070
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    References listed on IDEAS

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    1. Sun, Shulin & Sun, Yaru & Zhang, Guang & Liu, Xinzhi, 2017. "Dynamical behavior of a stochastic two-species Monod competition chemostat model," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 153-170.
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    Cited by:

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    2. Ma, Yuanlin & Yu, Xingwang, 2020. "The effect of environmental noise on threshold dynamics for a stochastic viral infection model with two modes of transmission and immune impairment," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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