IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-91092-5_18.html
   My bibliography  Save this book chapter

Modelling the Adaptive Immune Response in HIV Infection with Three Saturated Rates and Therapy

In: Trends in Biomathematics: Modeling, Optimization and Computational Problems

Author

Listed:
  • Karam Allali

    (University Hassan II of Casablanca, Laboratory Mathematics and Applications, Department of Mathematics, Faculty of Sciences and Technologies)

Abstract

In this work, we study a mathematical model describing the human immunodeficiency virus (HIV) with the adaptive immune response, three saturated rates and therapy. The considered adaptive immunity is constituted by cytotoxic T-lymphocytes (CTL) immune cells and antibodies; the three saturated rates describe the viral infection, the CTLs and the antibodies proliferations. Two types of treatments are integrated into the model; the objective of the first one is to reduce the infected cells number, however the role of the second is to obstruct the free viruses expansion. The positivity and boundedness of solutions are proved. The local stability of the disease free steady state and the infection steady states is studied. Numerical simulations are performed in order to show the behavior of solutions, the effect of the antibodies proliferation saturated rate and the effectiveness of the incorporated therapies in controlling HIV replication.

Suggested Citation

  • Karam Allali, 2018. "Modelling the Adaptive Immune Response in HIV Infection with Three Saturated Rates and Therapy," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems, pages 265-282, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-91092-5_18
    DOI: 10.1007/978-3-319-91092-5_18
    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:978-3-319-91092-5_18. 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.