IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6694479.html
   My bibliography  Save this article

Stochastic Periodic Solution and Permanence of a Holling–Leslie Predator-Prey System with Impulsive Effects

Author

Listed:
  • Jinxing Zhao
  • Yuanfu Shao
  • Yongqiang Fu

Abstract

Considering the environmental effects, a Holling–Leslie predator-prey system with impulsive and stochastic disturbance is proposed in this paper. Firstly, we prove that existence of periodic solution, the mean time boundness of variables is found by integral inequality, and we establish some sufficient conditions assuring the existencle of periodic Markovian process. Secondly, for periodic impulsive differential equation and system, it is different from previous research methods, by defining three restrictive conditions, we study the extinction and permanence in the mean of all species. Thirdly, by stochastic analysis method, we investigate the stochastic permanence of the system. Finally, some numerical simulations are given to illustrate the main results.

Suggested Citation

  • Jinxing Zhao & Yuanfu Shao & Yongqiang Fu, 2021. "Stochastic Periodic Solution and Permanence of a Holling–Leslie Predator-Prey System with Impulsive Effects," Journal of Mathematics, Hindawi, vol. 2021, pages 1-19, January.
    • Handle: RePEc:hin:jjmath:6694479
    DOI: 10.1155/2021/6694479
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2021/6694479.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2021/6694479.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6694479?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
    ---><---

    More about this item

    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:hin:jjmath:6694479. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.