IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/1656907.html
   My bibliography  Save this article

The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks

Author

Listed:
  • Shujuan Zhang
  • Zhen Jin
  • Juan Zhang

Abstract

Passive worms are prone to spreading through Peer-to-Peer networks, and they pose a great threat to the security of the network. In this paper, considering network heterogeneity and the number of hops a search can reach, we propose a novel mathematical model to study the dynamics of the propagation of passive worms. For the proposed model, the basic reproduction number is derived by employing the existence of the positive equilibrium. And the stabilities of the worm-free equilibrium and positive equilibrium are analyzed. Moreover, we verify the rationality of the model established by comparing the stochastic simulation with the numerical simulation. Finally, we examine the effect of the number of hops on the spread of passive worms and discuss the various immunization strategies. We find that if , the propagation speed of passive worms is accelerated with the increase of hop count ; if , the number of infected peers decreases rapidly with the increase of the value of and drops to zero eventually. Results show that the network topology and the number of hops can affect the spread of passive worms.

Suggested Citation

  • Shujuan Zhang & Zhen Jin & Juan Zhang, 2018. "The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-13, September.
    • Handle: RePEc:hin:jnddns:1656907
    DOI: 10.1155/2018/1656907
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2018/1656907.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2018/1656907.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/1656907?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
    ---><---

    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:jnddns:1656907. 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.