IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/429567.html
   My bibliography  Save this article

Dynamic of a TB-HIV Coinfection Epidemic Model with Latent Age

Author

Listed:
  • Xiaoyan Wang
  • Junyuan Yang
  • Fengqin Zhang

Abstract

A coepidemic arises when the spread of one infectious disease stimulates the spread of another infectious disease. Recently, this has happened with human immunodeficiency virus (HIV) and tuberculosis (TB). The density of individuals infected with latent tuberculosis is structured by age since latency. The host population is divided into five subclasses of susceptibles, latent TB, active TB (without HIV), HIV infectives (without TB), and coinfection class (infected by both TB and HIV). The model exhibits three boundary equilibria, namely, disease free equilibrium, TB dominated equilibrium, and HIV dominated equilibrium. We discuss the local or global stabilities of boundary equilibria. We prove the persistence of our model. Our simple model of two synergistic infectious disease epidemics illustrates the importance of including the effects of each disease on the transmission and progression of the other disease. We simulate the dynamic behaviors of our model and give medicine explanations.

Suggested Citation

  • Xiaoyan Wang & Junyuan Yang & Fengqin Zhang, 2013. "Dynamic of a TB-HIV Coinfection Epidemic Model with Latent Age," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-13, March.
    • Handle: RePEc:hin:jnljam:429567
    DOI: 10.1155/2013/429567
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/429567.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/429567.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/429567?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:jnljam:429567. 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.