IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v29y2021i01ns0218348x21500018.html
   My bibliography  Save this article

Computational Modeling And Theoretical Analysis Of Nonlinear Fractional Order Prey–Predator System

Author

Listed:
  • AMJAD ALI

    (Department of Mathematics, Government Jehan Zeb College, Swat, Khyber Pakhtankhawa, Pakistan)

  • KAMAL SHAH

    (Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtankhawa, Pakistan)

  • HUSSAM ALRABAIAH

    (Al Ain University, Al Ain, UAE4Mathematics Department, Tafila Technical University, Tafila, Jordan)

  • ZAHIR SHAH

    (Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtoon Khwa Pakistan)

  • GHAUS UR RAHMAN

    (Department of Mathematics & Statistics, University of Swat, Swat, Khyber Pakhtankhawa, Pakistan)

  • SAEED ISLAM

    (Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan8Faculty of Mathematics & Statistics, Ton Duc Thang University, Ho Chi Minh City, 70000, Vietnam9Informatics Research Group, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam)

Abstract

In this work, we investigate a nonlinear fractional order Lotka–Voltera prey–predator model. It is also worth mentioning that we develop some results about the existence of the solution through fixed point theory. After investigating the existence results, we also develop a suitable technique with the help of Laplace transform coupled with Adomain decomposition in order to obtain the approximate solutions for the underlying model. Here, it should be kept in mind that we study the proposed model subject to variable coefficients. The results obtained via the aforesaid techniques are illustrated graphically via Matlab-16 corresponding to different fractional order by taking two cases.Reviewers list: Prof. Dumitru Baleanu (Cancaya University Ankara Turkey), Email: dumitru@cankaya.edu.tr, Dr. Anwar Zeb (COMSAT, University Pakistan), Email: anwar@cuiatd.edu.pk, Prof. J. F. Gómez-Aguilar (CONACyT-Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C. P. 62490, Cuernavaca, Morelos, México), Email: jgomez@cenidet.edu.mx.

Suggested Citation

  • Amjad Ali & Kamal Shah & Hussam Alrabaiah & Zahir Shah & Ghaus Ur Rahman & Saeed Islam, 2021. "Computational Modeling And Theoretical Analysis Of Nonlinear Fractional Order Prey–Predator System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(01), pages 1-14, February.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:01:n:s0218348x21500018
    DOI: 10.1142/S0218348X21500018
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500018
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X21500018?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:01:n:s0218348x21500018. 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.