IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v240y2026icp153-176.html

Dynamics of a stochastic prey–predator eco-epidemiological system with distributed delay and impulsive perturbations

Author

Listed:
  • Dai, Xiangjun
  • Jiao, Jianjun
  • Quan, Qi
  • Zhou, Zeli

Abstract

A stochastic prey–predator eco-epidemiological model with distributed delay and impulsive perturbations is proposed and studied. The existence and uniqueness of the global positive solution are studied. The pth moment boundedness and the asymptotic pathwise estimation are discussed. And then, the sufficient conditions for the extinction, stability in the mean and the global attractivity of the system are given. Finally, some numerical examples are presented to validate our main theoretical findings. Our results indicate that the impulsive perturbations do not influence the survival of the population when the impulsive perturbations are bounded. However, the extinction and the stability in the mean of the population can change significantly when the impulsive perturbations are periodic. Furthermore, the distributed delay has no effect on the extinction, stability in the mean and global attractivity of the system whether the impulsive perturbation is bounded or periodic.

Suggested Citation

  • Dai, Xiangjun & Jiao, Jianjun & Quan, Qi & Zhou, Zeli, 2026. "Dynamics of a stochastic prey–predator eco-epidemiological system with distributed delay and impulsive perturbations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 153-176.
    • Handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:153-176
    DOI: 10.1016/j.matcom.2025.07.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475425002678
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2025.07.002?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:matcom:v:240:y:2026:i:c:p:153-176. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.