IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v259y2015icp293-312.html
   My bibliography  Save this article

Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission

Author

Listed:
  • Avila-Vales, Eric
  • Chan-Chí, Noé
  • García-Almeida, Gerardo E.
  • Vargas-De-León, Cruz

Abstract

In this paper we study a model of HCV with saturation and delay, we stablish the local and global stability of system also we stablish the occurrence of a Hopf bifurcation. We will determine conditions for the permanence of model, and the length of delay to preserve stability. We present a sensitivity analysis for the basic reproductive number.

Suggested Citation

  • Avila-Vales, Eric & Chan-Chí, Noé & García-Almeida, Gerardo E. & Vargas-De-León, Cruz, 2015. "Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 293-312.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:293-312
    DOI: 10.1016/j.amc.2015.02.053
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315002416
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.02.053?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. Michail P. Markakis & Panagiotis S. Douris, 2016. "On the Computation of Degenerate Hopf Bifurcations for -Dimensional Multiparameter Vector Fields," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-12, June.
    2. Hu, Qing & Hu, Zhixing & Liao, Fucheng, 2016. "Stability and Hopf bifurcation in a HIV-1 infection model with delays and logistic growth," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 128(C), pages 26-41.
    3. Wang, Jinliang & Guo, Min & Liu, Xianning & Zhao, Zhitao, 2016. "Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 149-161.

    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:eee:apmaco:v:259:y:2015:i:c:p:293-312. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.