IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/7845390.html
   My bibliography  Save this article

Global Dynamics of a Generalized SIRS Epidemic Model with Constant Immigration

Author

Listed:
  • Qianqian Cui
  • Qinghui Du
  • Li Wang

Abstract

In this paper, we discuss the global dynamics of a general susceptible-infected-recovered-susceptible (SIRS) epidemic model. By using LaSalle’s invariance principle and Lyapunov direct method, the global stability of equilibria is completely established. If there is no input of infectious individuals, the dynamical behaviors completely depend on the basic reproduction number. If there exists input of infectious individuals, the unique equilibrium of model is endemic equilibrium and is globally asymptotically stable. Once one place has imported a disease case, then it may become outbreak after that. Numerical simulations are presented to expound and complement our theoretical conclusions.

Suggested Citation

  • Qianqian Cui & Qinghui Du & Li Wang, 2020. "Global Dynamics of a Generalized SIRS Epidemic Model with Constant Immigration," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, November.
    • Handle: RePEc:hin:jnlmpe:7845390
    DOI: 10.1155/2020/7845390
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/7845390.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/7845390.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/7845390?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:jnlmpe:7845390. 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.