IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/850670.html
   My bibliography  Save this article

A Computational Study of HSV-2 with Poor Treatment Adherence

Author

Listed:
  • A. Mhlanga
  • C. P. Bhunu
  • S. Mushayabasa

Abstract

Herpes simplex virus type 2 (HSV-2) is the most prevalent sexually transmitted disease worldwide, despite the availability of highly effective antiviral treatments. In this paper, a basic mathematical model for the spread of HSV-2 incorporating all the relevant biological details and poor treatment adherence is proposed and analysed. Equilibrium states of the model are determined and their stability has been investigated. The basic model is then extended to incorporate a time dependent intervention strategy. The aim of the control is tied to reducing the rate at which HSV-2 patients in treatment quit therapy before completion. Practically, this control can be implemented through monitoring and counselling all HSV-2 patients in treatment. The Pontryagin’s maximum principle is used to characterize the optimal level of the control, and the resulting optimality system is solved numerically. Overall, the study demonstrates that though time dependent control will be effective on controlling new HSV-2 cases it may not be sustainable for certain time intervals.

Suggested Citation

  • A. Mhlanga & C. P. Bhunu & S. Mushayabasa, 2015. "A Computational Study of HSV-2 with Poor Treatment Adherence," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-15, November.
    • Handle: RePEc:hin:jnlaaa:850670
    DOI: 10.1155/2015/850670
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2015/850670.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2015/850670.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/850670?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:jnlaaa:850670. 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.