IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/5999066.html

Bifurcation and Sensitivity Analysis of a Dysentery Diarrhea Epidemic Model With Treatment and Environmental Pathways

Author

Listed:
  • Hailu Tkue Welu
  • Yohannes Yirga Kefela
  • Habtu Alemayehu Atsbaha
  • Hailay Weldegiorgis Berhe
  • Mo'tassem Al-arydah

Abstract

Dysentery diarrhea remains a major public health challenge in low-resource settings. This study develops a novel SITR-B model that integrates treatment pathways, treatment failure, and environmental transmission. The model incorporates logistic bacterial growth and dual decay mechanisms, providing a realistic representation of pathogen dynamics. Analytical results show a forward bifurcation at R0=1, confirming an epidemic threshold. Sensitivity analysis identifies pathogen shedding ε1 and human contact rate βh as dominant transmission drivers. Optimal control analysis reveals that a strategy combining initial intensive treatment with sustained sanitation significantly reduces both infections and environmental pathogens. Comparative simulations demonstrate that our model, through its explicit treatment structure, produces more realistic outcomes than previous frameworks. These findings provide mathematical evidence for combined intervention strategies, offering practical guidance for dysentery control in vulnerable populations.

Suggested Citation

  • Hailu Tkue Welu & Yohannes Yirga Kefela & Habtu Alemayehu Atsbaha & Hailay Weldegiorgis Berhe & Mo'tassem Al-arydah, 2026. "Bifurcation and Sensitivity Analysis of a Dysentery Diarrhea Epidemic Model With Treatment and Environmental Pathways," Journal of Applied Mathematics, Hindawi, vol. 2026, pages 1-17, March.
    • Handle: RePEc:hin:jnljam:5999066
    DOI: 10.1155/jama/5999066
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jam/2026/5999066.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jam/2026/5999066.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jama/5999066?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:5999066. 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.