IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-030-73241-7_19.html
   My bibliography  Save this book chapter

Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity

In: Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells

Author

Listed:
  • Moussa Bachraoui

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik)

  • Khalid Hattaf

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik
    Centre Régional des Métiers de l’Education et de la Formation (CRMEF))

  • Noura Yousfi

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik)

Abstract

In this chapter, we propose a mathematical model governed by fractional partial differential equations (FPDEs) that describes the dynamics of hepatitis B virus (HBV) infection in presence of humoral and cellular immune responses which are mediated by antibodies and cytotoxic T lymphocytes (CTL) cells. The incidence of infection is modeled by Hattaf-Yousfi functional response that includes various forms existing in the literature. Furthermore, the global properties of the model are rigorously investigated. Finally, numerical simulations are presented to support the analytical results.

Suggested Citation

  • Moussa Bachraoui & Khalid Hattaf & Noura Yousfi, 2021. "Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, pages 293-313, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-73241-7_19
    DOI: 10.1007/978-3-030-73241-7_19
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-030-73241-7_19. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.