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Global stability analysis and modelling onchocerciasis transmission dynamics with control measures.
Konlan, Musah; Abassawah Danquah, Baaba; Okyere, Eric; Osman, Shaibu; Amenyo Kessie, Justice; Kobina Donkoh, Elvis.
Afiliación
  • Konlan M; Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana.
  • Abassawah Danquah B; Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana.
  • Okyere E; Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana.
  • Osman S; Department of Basic Sciences, University of Health and Allied Sciences, Ho, Ghana.
  • Amenyo Kessie J; Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana.
  • Kobina Donkoh E; Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana.
Infect Ecol Epidemiol ; 14(1): 2347941, 2024.
Article en En | MEDLINE | ID: mdl-38736969
ABSTRACT

Background:

Onchocerciasis infection is one of the neglected tropical diseases targeted for eradication by 2030. The disease is usually transmitted to humans through the bites of black flies. These black flies mostly breed near well-oxygenated fast-running water bodies. The disease is common in mostly remote agricultural villages near rivers and streams.

Objective:

In this study, a deterministic model describing the infection dynamics of human onchocerciasis disease with control measures is presented.

Methods:

We derived the model's reproductive number and used a stability theorem of a Metzler matrix to show that disease-free equilibrium is both locally and globally asymptotically stable whenever the reproductive number is less than one. Parameter contribution was conducted using sensitivity analysis. The model endemic equation is shown to be a cubic polynomial in the presence of infected immigrants and a quadratic form in their absence.

Results:

When the inflow of infected immigrants is null, the model endemic equation may admit a unique equilibrium if the reproductive number is greater than one, or admits multiple endemic equilibria if the reproductive number is less than unity. We carried out a sensitivity analysis to identify the significant parameters that contribute to onchocerciasis spread.

Conclusion:

Onchocerciasis disease can be eradicated if the importation of infected immigrants is properly monitored. The integration of the One Health concept in the public health system is key in tackling the emergence and spread of diseases.
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Infect Ecol Epidemiol Año: 2024 Tipo del documento: Article País de afiliación: Ghana Pais de publicación: Estados Unidos
Texto completo
Añadir a Mi BVS
Imprimir
XML
PubMed Links
Buscar en Google

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Infect Ecol Epidemiol Año: 2024 Tipo del documento: Article País de afiliación: Ghana Pais de publicación: Estados Unidos