IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v184y2024ics0960077924005769.html
   My bibliography  Save this article

Dynamical behavior of a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching

Author

Listed:
  • Zhan, Jinxiang
  • Wei, Yongchang

Abstract

Motivated by the global impact of heroin addiction and the challenges associated with relapse rates among users, this paper investigates a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching. Precisely, we first verify that this system has a unique global positive solution. Then, we presents some criteria for the extinction and persistence in mean of heroin users with this stochastic framework. Additionally, we establish the existence of a unique ergodic stationary distribution of this system by means of Lyapunov inequality. Finally, numerical simulations not only reinforces the theoretical findings but also demonstrates the practical implications of this system in various scenarios.

Suggested Citation

  • Zhan, Jinxiang & Wei, Yongchang, 2024. "Dynamical behavior of a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005769
    DOI: 10.1016/j.chaos.2024.115024
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924005769
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115024?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005769. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.