IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/4643912.html
   My bibliography  Save this article

Threshold Dynamics of the Switched Multicity Epidemic Models with Pulse Control

Author

Listed:
  • Xiying Wang
  • Wei Xu
  • Wenfeng Wang

Abstract

This paper mainly studies the threshold dynamics of new multicity HIV (Human Immunodeficiency Virus) epidemic models with switching parameters and pulse control. The model’s parameters are assumed to be time-varying functions and switching functional forms in time due to seasonal changes. And the susceptible population is assumed to become infected via shared injections or sexual contacts with infected individuals and pre-AIDS patients (following infection with HIV but before the full development of acquired immune deficiency syndrome). New threshold conditions are established to ensure the extinction of the disease by using Razumikhin-type approach. Pulse control strategies are then applied to the multicity epidemic model and analyzed to guarantee their success in eradicating the disease. Numerical examples are performed to support the analytical results.

Suggested Citation

  • Xiying Wang & Wei Xu & Wenfeng Wang, 2019. "Threshold Dynamics of the Switched Multicity Epidemic Models with Pulse Control," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:4643912
    DOI: 10.1155/2019/4643912
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2019/4643912.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2019/4643912.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/4643912?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:4643912. 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.