IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v25y2014i05ns0129183114400105.html
   My bibliography  Save this article

Impact of anti-virus software on computer virus dynamical behavior

Author

Listed:
  • Mei Sun

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

  • Dandan Li

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

  • Dun Han

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

  • Changsheng Jia

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

Abstract

The impact of anti-virus software on the spreading of computer virus is investigated via developing a mathematical model in this paper. Considering the anti-virus software may not be effective, as it may be an outdated version, and then the computers may be infected with a reduced incidence rate. According to the method of next generation matrix, the basic reproduction number is derived. By introducing appropriate Lyapunov function and the Routh stability criterion, acquiring the stability conditions of the virus-free equilibrium and virus equilibrium. The effect of anti-virus software and disconnecting rate on the spreading of virus are also analyzed. When combined with the numerical results, a set of suggestions are put forward for eradicating virus effectively.

Suggested Citation

  • Mei Sun & Dandan Li & Dun Han & Changsheng Jia, 2014. "Impact of anti-virus software on computer virus dynamical behavior," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:05:n:s0129183114400105
    DOI: 10.1142/S0129183114400105
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183114400105
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183114400105?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.

    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:ijmpcx:v:25:y:2014:i:05:n:s0129183114400105. 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: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.