IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/234509.html
   My bibliography  Save this article

A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China

Author

Listed:
  • Yeting Zhu
  • Boyang Xu
  • Xinze Lian
  • Wang Lin
  • Zumu Zhou
  • Weiming Wang

Abstract

We establish an SEIQRS epidemic model with periodic transmission rate to investigate the spread of seasonal HFMD in Wenzhou. The value of this study lies in two aspects. Mathematically, we show that the global dynamics of the HFMD model can be governed by its reproduction number ; if , the disease-free equilibrium of the model is globally asymptotically stable, which means that the disease will vanish after some period of time; while if , the model has at least one positive periodic solution and is uniformly persistent, which indicates that HFMD becomes an endemic disease. Epidemiologically, based on the statistical data of HFMD in Wenzhou, we find that the HFMD becomes an endemic disease and will break out in Wenzhou. One of the most interesting findings is that, for controlling the HFMD spread, we must increase the quarantined rate or decrease the treatment cycle.

Suggested Citation

  • Yeting Zhu & Boyang Xu & Xinze Lian & Wang Lin & Zumu Zhou & Weiming Wang, 2014. "A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, March.
    • Handle: RePEc:hin:jnlaaa:234509
    DOI: 10.1155/2014/234509
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/234509.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/234509.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/234509?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. Napasool Wongvanich & I-Ming Tang & Marc-Antoine Dubois & Puntani Pongsumpun, 2021. "Mathematical Modeling and Optimal Control of the Hand Foot Mouth Disease Affected by Regional Residency in Thailand," Mathematics, MDPI, vol. 9(22), pages 1-30, November.

    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:234509. 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.