IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/5460337.html
   My bibliography  Save this article

Modeling and Analysis of HIV and Cholera Direct Transmission with Optimal Control

Author

Listed:
  • Kumama Regassa Cheneke
  • Koya Purnachandra Rao
  • Geremew Kenassa Edessa
  • Fahad Al Basir

Abstract

In this study, a mathematical model of the human immunodeficiency virus (HIV) and cholera co infection is constructed and analyzed. The disease-free equilibrium of the co-infection model is both locally and globally asymptotically stable if R0 1. The only cholera model and only the HIV model show forward bifurcation if the corresponding reproduction numbers attain a value one. The disease-free equilibria of only the cholera and only the HIV models is locally and globally asymptotically if R0 0 show that the increase of one infection contributes to the increase of other infection. Pontryagin’s maximum principle is applied to construct Hamiltonian function, and optimal controls are computed. The optimal system is solved numerically using forward and backward sweep method of Runge Kutta’s fourth-order methods. The numerical simulations are plotted using MATLAB.

Suggested Citation

  • Kumama Regassa Cheneke & Koya Purnachandra Rao & Geremew Kenassa Edessa & Fahad Al Basir, 2022. "Modeling and Analysis of HIV and Cholera Direct Transmission with Optimal Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-16, May.
    • Handle: RePEc:hin:jnddns:5460337
    DOI: 10.1155/2022/5460337
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/ddns/2022/5460337.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/ddns/2022/5460337.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/5460337?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:5460337. 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.