Global stability analysis and modelling onchocerciasis transmission dynamics with control measures
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 most...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Infection Ecology & Epidemiology |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/20008686.2024.2347941 |
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| author | Musah Konlan Baaba Abassawah Danquah Eric Okyere Shaibu Osman Justice Amenyo Kessie Elvis Kobina Donkoh |
| author_facet | Musah Konlan Baaba Abassawah Danquah Eric Okyere Shaibu Osman Justice Amenyo Kessie Elvis Kobina Donkoh |
| author_sort | Musah Konlan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-18c209df590d4e369945f33d07b44b5d |
| institution | OA Journals |
| issn | 2000-8686 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Infection Ecology & Epidemiology |
| spelling | doaj-art-18c209df590d4e369945f33d07b44b5d2025-08-20T02:07:23ZengTaylor & Francis GroupInfection Ecology & Epidemiology2000-86862024-12-0114110.1080/20008686.2024.2347941Global stability analysis and modelling onchocerciasis transmission dynamics with control measuresMusah Konlan0Baaba Abassawah Danquah1Eric Okyere2Shaibu Osman3Justice Amenyo Kessie4Elvis Kobina Donkoh5Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaDepartment of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaDepartment of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaDepartment of Basic Sciences, University of Health and Allied Sciences, Ho, GhanaDepartment of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaDepartment of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaBackground: 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.https://www.tandfonline.com/doi/10.1080/20008686.2024.2347941Onchocerciasisbifurcationsensitivity analysisglobal stabilitybasic reproductive number |
| spellingShingle | Musah Konlan Baaba Abassawah Danquah Eric Okyere Shaibu Osman Justice Amenyo Kessie Elvis Kobina Donkoh Global stability analysis and modelling onchocerciasis transmission dynamics with control measures Infection Ecology & Epidemiology Onchocerciasis bifurcation sensitivity analysis global stability basic reproductive number |
| title | Global stability analysis and modelling onchocerciasis transmission dynamics with control measures |
| title_full | Global stability analysis and modelling onchocerciasis transmission dynamics with control measures |
| title_fullStr | Global stability analysis and modelling onchocerciasis transmission dynamics with control measures |
| title_full_unstemmed | Global stability analysis and modelling onchocerciasis transmission dynamics with control measures |
| title_short | Global stability analysis and modelling onchocerciasis transmission dynamics with control measures |
| title_sort | global stability analysis and modelling onchocerciasis transmission dynamics with control measures |
| topic | Onchocerciasis bifurcation sensitivity analysis global stability basic reproductive number |
| url | https://www.tandfonline.com/doi/10.1080/20008686.2024.2347941 |
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