IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/838396.html
   My bibliography  Save this article

Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4 + T-cells

Author

Listed:
  • P. Balasubramaniam
  • M. Prakash
  • Fathalla A. Rihan
  • S. Lakshmanan

Abstract

This paper deals with stability and Hopf bifurcation analyses of a mathematical model of HIV infection of T-cells. The model is based on a system of delay differential equations with logistic growth term and antiretroviral treatment with a discrete time delay, which plays a main role in changing the stability of each steady state. By fixing the time delay as a bifurcation parameter, we get a limit cycle bifurcation about the infected steady state. We study the effect of the time delay on the stability of the endemically infected equilibrium. We derive explicit formulae to determine the stability and direction of the limit cycles by using center manifold theory and normal form method. Numerical simulations are presented to illustrate the results.

Suggested Citation

  • P. Balasubramaniam & M. Prakash & Fathalla A. Rihan & S. Lakshmanan, 2014. "Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4 + T-cells," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-18, August.
    • Handle: RePEc:hin:jnlaaa:838396
    DOI: 10.1155/2014/838396
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/838396.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/838396.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/838396?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
    ---><---

    Citations

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


    Cited by:

    1. Prakash, M. & Rakkiyappan, R. & Manivannan, A. & Cao, Jinde, 2019. "Dynamical analysis of antigen-driven T-cell infection model with multiple delays," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 266-281.
    2. Zhang, Tongqian & Xu, Xinna & Wang, Xinzeng, 2023. "Dynamic analysis of a cytokine-enhanced viral infection model with time delays and CTL immune response," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Veronika Novotná & Vladěna Štěpánková, 2015. "Parameter Estimation for Dynamic Model of the Financial System," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 63(6), pages 2051-2055.

    More about this item

    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:hin:jnlaaa:838396. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.