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A stochastic competition turbidostat system with general response functions of nutrition: Stationary distribution

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  • Mu, Xiaojie
  • Jiang, Daqing

Abstract

We develop and investigate a stochastic competition turbidostat model with environmental noise and general response functions in this contribution. The contents of the turbidostat model are carried out including the existence and uniqueness of global positive equilibrium and stationary distribution. More concretely, the results of this paper are obtained by establishing an appropriate Lyapunov function. In addition, we exhibit a general method for the existence of stationary distribution of competition turbidostat model with environmental noise and general response function by reducing the dimension of the model. Finally, the numerical simulation further verifies theoretical results.

Suggested Citation

  • Mu, Xiaojie & Jiang, Daqing, 2025. "A stochastic competition turbidostat system with general response functions of nutrition: Stationary distribution," Statistics & Probability Letters, Elsevier, vol. 226(C).
    • Handle: RePEc:eee:stapro:v:226:y:2025:i:c:s0167715225001373
    DOI: 10.1016/j.spl.2025.110492
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    References listed on IDEAS

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    1. Xu, Changjin & Liu, Zixin & Pang, Yicheng & Akgül, Ali, 2023. "Stochastic analysis of a COVID-19 model with effects of vaccination and different transition rates: Real data approach," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Yu Mu & Zuxiong Li & Huili Xiang & Hailing Wang, 2019. "Dynamical Analysis of a Stochastic Multispecies Turbidostat Model," Complexity, Hindawi, vol. 2019, pages 1-18, January.
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