IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i01ns0218348x22400369.html
   My bibliography  Save this article

Fractional Order Analysis Of Hbv And Hcv Co-Infection Under Abc Derivative

Author

Listed:
  • HUSSAM ALRABAIAH

    (College of Engineering, Al Ain University, Al Ain, UAE2Department of Mathematics, College of Science, Tafila Technical University, Tafila, Jordan)

  • MATI UR RAHMAN

    (Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road Shanghai, P. R. China)

  • IBRAHIM MAHARIQ

    (College of Engineering and Technology, American University of the Middle East, Kuwait)

  • SAMIA BUSHNAQ

    (Department of Basic Sciences, Princess Sumaya University for Technology, King Abdullah II Faculty of Engineering, Amman 11941, Jordan)

  • MUHAMMAD ARFAN

    (Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan)

Abstract

In this paper, we consider a fractional mathematical model describing the co-infection of HBV and HCV under the non-singular Mittag-Leffler derivative. We also investigate the qualitative analysis for at least one solution and a unique solution by applying the approach fixed point theory. For an approximate solution, the technique of the iterative fractional order Adams–Bashforth scheme has been implemented. The simulation for the proposed scheme has been drawn at various fractional order values lying between (0,1) and integer-order of 1 via using Matlab. All the compartments have shown convergence and stability with time. A detailed comparative result has been given by the different fractional orders, which showed that the stability was achieved more rapidly at low orders.

Suggested Citation

  • Hussam Alrabaiah & Mati Ur Rahman & Ibrahim Mahariq & Samia Bushnaq & Muhammad Arfan, 2022. "Fractional Order Analysis Of Hbv And Hcv Co-Infection Under Abc Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-15, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22400369
    DOI: 10.1142/S0218348X22400369
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22400369
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22400369?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mahmood, Tariq & Al-Duais, Fuad S. & Sun, Mei, 2022. "Dynamics of Middle East Respiratory Syndrome Coronavirus (MERS-CoV) involving fractional derivative with Mittag-Leffler kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

    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:30:y:2022:i:01:n:s0218348x22400369. 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.