IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/7090661.html
   My bibliography  Save this article

The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay

Author

Listed:
  • Dongxue Yan
  • Mengqi Zhang
  • Jiashan Tang
  • Binxiang Dai

Abstract

The global dynamic behavior of an age-structured hand-foot-mouth disease (HFMD) model with saturation incidence and time delay is investigated in the work. The time delay occurs during the transition from latent to infectious individuals. Firstly, the model is expressed as an abstract Cauchy problem. The presence of equilibria is then pointed; meanwhile, we define the model’s basic reproduction number R0. The conclusions show that a threshold of R0=1 can be used to evaluate whether the disease is on the verge of extinction or is still present. When R0 1, there exists an endemic equilibrium, and the global stability of the endemic equilibrium is also demonstrated. Finally, some numerical examples are given to demonstrate the obtained conclusions.

Suggested Citation

  • Dongxue Yan & Mengqi Zhang & Jiashan Tang & Binxiang Dai, 2023. "The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2023, pages 1-21, January.
    • Handle: RePEc:hin:jnddns:7090661
    DOI: 10.1155/2023/7090661
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/ddns/2023/7090661.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/ddns/2023/7090661.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/7090661?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:7090661. 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.