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The stationary distribution and ergodicity of a stochastic generalized logistic system

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  • Li, Dingshi

Abstract

In this work we consider a stochastic generalized logistic equation. We obtain the sufficient condition for the existence of a unique stationary distribution to the equation and it has an ergodic property. The results given in Liu and Wang (2012) are improved.

Suggested Citation

  • Li, Dingshi, 2013. "The stationary distribution and ergodicity of a stochastic generalized logistic system," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 580-583.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:2:p:580-583
    DOI: 10.1016/j.spl.2012.11.006
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    Cited by:

    1. Gaston Clément Nyassoke Titi & Jules Sadefo Kamdem & Louis Aimé Fono, 2022. "Optimal renewable resource harvesting model using price and biomass stochastic variations: a utility based approach," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(2), pages 297-326, April.
    2. Gaston Clément Nyassoke Titi & Jules Sadefo-Kamdem & Louis Aimé Fono, 2021. "Optimal Renewable Resource Harvesting model using price and biomass stochastic variations: A Utility Based Approach," Working Papers hal-03169348, HAL.
    3. Sun, Xinguo & Zuo, Wenjie & Jiang, Daqing & Hayat, Tasawar, 2018. "Unique stationary distribution and ergodicity of a stochastic Logistic model with distributed delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 864-881.
    4. Zhou, Yaxin & Jiang, Daqing, 2023. "Dynamic behavior of infectious diseases influenced by TV and social media advertisement," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    5. 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.

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