IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i06ns0218348x25401115.html
   My bibliography  Save this article

A Numerical Analysis Of Nabla Discrete Operator: To Investigate Prey–Predator Model

Author

Listed:
  • AZIZ KHAN

    (Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia)

  • HISHAM MOHAMMAD ALKHAWAR

    (��Preparatory Year Program, Computer Department, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia‡Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India§Department of Medical Research, China Medical University, Taichung 40402, Taiwan¶Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, 02447 Seoul, Korea∥Sefako Makgatho Health Sciences University, Garankuwa, Medusa 0204, South Africa)

  • FEHMI MABROUK

    (University of Gafsa, Higher Institute of Applied Sciences and Technology of Gafsa, Tunisia)

Abstract

In this paper, we propose a fractional-order nabla difference nonlinear system involving bounded disturbances and utilizing the numerical analysis to investigate the prey–predator model in the sense of the nabla difference operator. This system class has a broader range of nonlinearities in comparison to the Lipschitz class. We develop adequate criteria for the observer design based on the one-sided Lipschitz and quadratically inner-bounded ones. We prove the practical Mittag-Leffler stability of the closed-loop system. Furthermore, we provided a separation principle for a class of nonlinear systems with bounded uncertain parts. We illustrated a numerical example to show the efficacy and application of our new findings.

Suggested Citation

  • Aziz Khan & Hisham Mohammad Alkhawar & Thabet Abdeljawad & Fehmi Mabrouk, 2025. "A Numerical Analysis Of Nabla Discrete Operator: To Investigate Prey–Predator Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:06:n:s0218348x25401115
    DOI: 10.1142/S0218348X25401115
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X25401115
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X25401115?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:wsi:fracta:v:33:y:2025:i:06:n:s0218348x25401115. 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.