IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v29y2021i02ns0218348x21500407.html
   My bibliography  Save this article

Bifurcations Emerging From Different Delays In A Fractional-Order Predator–Prey Model

Author

Listed:
  • CHENGDAI HUANG

    (School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, P. R. China)

  • HUAN LI

    (��College of Life Sciences, Xinyang Normal University, Xinyang 464000, P. R. China)

  • XIAOPING CHEN

    (��Department of Mathematics, Taizhou University, Taizhou 225300, P. R. China)

  • JINDE CAO

    (�School of Mathematics, Southeast University, Nanjing 210996, P. R. China)

Abstract

This paper characterizes the stability and bifurcation of fractional-order ratio-dependent Holling–Tanner type model with fractional domain (0, 2]. The stability intervals and bifurcation conditions of the developed model are attained by viewing different delays as bifurcation parameters. Then, two numerical examples are employed to corroborate the correctness of the theoretical analysis consisting of figuring out the bifurcation point and checking the veracity of the acquired bifurcation results via the plotted bifurcation diagrams. It revamps the deficiency of fractional-order model with unique delay. The procured results are instrumental in exploring the intrinsic convolution of predator–prey models.

Suggested Citation

  • Chengdai Huang & Huan Li & Xiaoping Chen & Jinde Cao, 2021. "Bifurcations Emerging From Different Delays In A Fractional-Order Predator–Prey Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(02), pages 1-15, March.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500407
    DOI: 10.1142/S0218348X21500407
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500407
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X21500407?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:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500407. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/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.