IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/8864999.html
   My bibliography  Save this article

Paradox of Enrichment in a Stochastic Predator-Prey Model

Author

Listed:
  • Jawdat Alebraheem
  • Velusamy Vijayakumar

Abstract

We propose a stochastic predator-prey model to study a novel idea that involves investigating random noises effects on the enrichment paradox phenomenon. Existence and stochastic boundedness of a unique positive solution with positive initial conditions are proved. The global asymptotic stability is studied to determine the occurrence of the enrichment paradox phenomenon. We show theoretically that intensive noises play an important role in the occurrence of the phenomenon, where increasing intensive noises lead to occurrence of the paradox of enrichment. We perform numerical simulations to verify and demonstrate the theoretical results. The new results in this study may contribute to increasing attention to study the random noise effects on some ecological and biological phenomena as the paradox of enrichment.

Suggested Citation

  • Jawdat Alebraheem & Velusamy Vijayakumar, 2020. "Paradox of Enrichment in a Stochastic Predator-Prey Model," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, November.
    • Handle: RePEc:hin:jjmath:8864999
    DOI: 10.1155/2020/8864999
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2020/8864999.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2020/8864999.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/8864999?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:8864999. 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.