IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v15y2004i10ns0129183104006881.html
   My bibliography  Save this article

Steady States Of Epidemic Spreading In Small-World Networks

Author

Listed:
  • XIN-JIAN XU

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • ZHI-XI WU

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • YONG CHEN

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • YING-HAI WANG

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

Abstract

We consider a standardsusceptible–infected–susceptible(SIS) model to study the behaviors of steady states of epidemic spreading in small-world networks. Using analytical methods and large scale simulations, we recover the usual epidemic behavior with a critical thresholdλcbelow which infectious diseases die out. For the spreading rate λ far aboveλc, it was found that the density of infected individuals ρ as a function of λ has the propertyρ≈f(K)(lnλ-lnλc).

Suggested Citation

  • Xin-Jian Xu & Zhi-Xi Wu & Yong Chen & Ying-Hai Wang, 2004. "Steady States Of Epidemic Spreading In Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(10), pages 1471-1477.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:10:n:s0129183104006881
    DOI: 10.1142/S0129183104006881
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183104006881
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183104006881?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. Wang, Haiying & Moore, Jack Murdoch & Small, Michael & Wang, Jun & Yang, Huijie & Gu, Changgui, 2022. "Epidemic dynamics on higher-dimensional small world networks," Applied Mathematics and Computation, Elsevier, vol. 421(C).

    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:15:y:2004:i:10:n:s0129183104006881. 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.