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Persistence, Extinction, and boundedness in pth moment of hybrid stochastic logistic systems by delay feedback control based on discrete-time observation

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  • Mukama, Denis Sospeter
  • Ghani, Mohammad
  • Mbalawata, Isambi Sailon

Abstract

This paper focuses on the study of long-term behaviour of the stochastic logistic systems under Markov chain using delay feedback control based on discrete-time observations. Necessary conditions for extinction, persistence and boundedness in pth moment of the species in the time average is examined. Particularly, the upper bound of (τ+τ0) of the time lag between two successive observations τ and the delay time τ0, is obtained. The stochastic comparison theorem and asymptotic analysis are the main techniques applied. It has been observed that, the delay feedback control has an impact on the persistence of the species. Synthetic examples and virtual realities are given to support the findings.

Suggested Citation

  • Mukama, Denis Sospeter & Ghani, Mohammad & Mbalawata, Isambi Sailon, 2023. "Persistence, Extinction, and boundedness in pth moment of hybrid stochastic logistic systems by delay feedback control based on discrete-time observation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 661-677.
    • Handle: RePEc:eee:matcom:v:210:y:2023:i:c:p:661-677
    DOI: 10.1016/j.matcom.2023.03.034
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    References listed on IDEAS

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    1. Hongxiao Hu & Ling Zhu, 2015. "Permanence and Extinction of Stochastic Logistic System with Feedback Control under Regime Switching," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-6, September.
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    3. Li, Dingshi, 2013. "The stationary distribution and ergodicity of a stochastic generalized logistic system," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 580-583.
    4. You, Surong & Hu, Liangjian & Mao, Wei & Mao, Xuerong, 2015. "Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations," Statistics & Probability Letters, Elsevier, vol. 102(C), pages 8-16.
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