IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/576365.html
   My bibliography  Save this article

Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis

Author

Listed:
  • Kai Wang
  • Xueliang Zhang
  • Zhidong Teng
  • Lei Wang
  • Liping Zhang

Abstract

A patch model for echinococcosis due to dogs migration is proposed to explore the effect of dogs migration among patches on the spread of echinococcosis. We firstly define the basic reproduction number . The mathematical results show that the dynamics of the model can be completely determined by . If , the disease-free equilibrium is globally asymptotically stable. When , the model is permanence and endemic equilibrium is globally asymptotically stable. According to the simulations, it is shown that the larger diffusion of dogs from the lower epidemic areas to the higher prevalence areas can intensify the spread of echinococcosis. However, the larger diffusion of dogs from the higher prevalence areas to the lower epidemic areas can reduce the spread and is beneficial for disease control.

Suggested Citation

  • Kai Wang & Xueliang Zhang & Zhidong Teng & Lei Wang & Liping Zhang, 2014. "Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, March.
    • Handle: RePEc:hin:jnlaaa:576365
    DOI: 10.1155/2014/576365
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/576365.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/576365.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/576365?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. Chen, Weixin & Xu, Xinzhong & Zhang, Qimin, 2024. "Hopf bifurcation and fixed-time stability of a reaction–diffusion echinococcosis model with mixed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 223(C), pages 1-19.

    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:576365. 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.