IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/4864706.html
   My bibliography  Save this article

Mathematical Model Analysis of the Impact of Alcohol Consumption on the Dynamics of Poverty and Infectious Disease

Author

Listed:
  • Kiros G. Kebedow
  • Tesema M. Mune
  • Mohammed Y. Dawed

Abstract

Alcohol consumption causes social, economic, and health concerns. Our proposed mathematical model examines how alcohol intake affects the dynamics of infection and poverty. This study looks at two types of infectious diseases as well as poverty dynamics caused by alcoholism. The model’s dynamic behavior is evaluated qualitatively. The system has three equilibrium points: disease free, alcohol free, and endemic. The existence of these points is explained as follows: no condition, a condition, and conditions. Two fundamental reproduction numbers are identified. The current model system has demonstrated theorems on local and global fixed point stability analysis with proofs. Extensive numerical simulation has been carried out using the MATLAB ODE solver Ode45 which reveals the validity of qualitative analysis of the dynamical system.

Suggested Citation

  • Kiros G. Kebedow & Tesema M. Mune & Mohammed Y. Dawed, 2025. "Mathematical Model Analysis of the Impact of Alcohol Consumption on the Dynamics of Poverty and Infectious Disease," Journal of Applied Mathematics, Hindawi, vol. 2025, pages 1-15, July.
    • Handle: RePEc:hin:jnljam:4864706
    DOI: 10.1155/jama/4864706
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jam/2025/4864706.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jam/2025/4864706.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jama/4864706?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:4864706. 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.