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On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model
BACKGROUND: Mycobacterium ulcerans is know to cause the Buruli ulcer. The association between the ulcer and environmental exposure has been documented. However, the epidemiology of the ulcer is not well understood. A hypothesised transmission involves humans being bitten by the water bugs that prey...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
BioMed Central
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4636839/ https://www.ncbi.nlm.nih.gov/pubmed/26545356 http://dx.doi.org/10.1186/s13104-015-1619-5 |
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author | Nyabadza, Farai Bonyah, Ebenezer |
author_facet | Nyabadza, Farai Bonyah, Ebenezer |
author_sort | Nyabadza, Farai |
collection | PubMed |
description | BACKGROUND: Mycobacterium ulcerans is know to cause the Buruli ulcer. The association between the ulcer and environmental exposure has been documented. However, the epidemiology of the ulcer is not well understood. A hypothesised transmission involves humans being bitten by the water bugs that prey on mollusks, snails and young fishes. METHODS: In this paper, a model for the transmission of Mycobacterium ulcerans to humans in the presence of a preventive strategy is proposed and analysed. The model equilibria are determined and conditions for the existence of the equilibria established. The model analysis is carried out in terms of the reproduction number [Formula: see text] . The disease free equilibrium is found to be locally asymptotically stable for [Formula: see text] The model is fitted to data from Ghana. RESULTS: The model is found to exhibit a backward bifurcation and the endemic equilibrium point is globally stable when [Formula: see text] Sensitivity analysis showed that the Buruli ulcer epidemic is highly influenced by the shedding and clearance rates of Mycobacterium ulcerans in the environment. The model is found to fit reasonably well to data from Ghana and projections on the future of the Buruli ulcer epidemic are also made. CONCLUSIONS: The model reasonably fitted data from Ghana. The fitting process showed data that appeared to have reached a steady state and projections showed that the epidemic levels will remain the same for the projected time. The implications of the results to policy and future management of the disease are discussed. |
format | Online Article Text |
id | pubmed-4636839 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | BioMed Central |
record_format | MEDLINE/PubMed |
spelling | pubmed-46368392015-11-08 On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model Nyabadza, Farai Bonyah, Ebenezer BMC Res Notes Research Article BACKGROUND: Mycobacterium ulcerans is know to cause the Buruli ulcer. The association between the ulcer and environmental exposure has been documented. However, the epidemiology of the ulcer is not well understood. A hypothesised transmission involves humans being bitten by the water bugs that prey on mollusks, snails and young fishes. METHODS: In this paper, a model for the transmission of Mycobacterium ulcerans to humans in the presence of a preventive strategy is proposed and analysed. The model equilibria are determined and conditions for the existence of the equilibria established. The model analysis is carried out in terms of the reproduction number [Formula: see text] . The disease free equilibrium is found to be locally asymptotically stable for [Formula: see text] The model is fitted to data from Ghana. RESULTS: The model is found to exhibit a backward bifurcation and the endemic equilibrium point is globally stable when [Formula: see text] Sensitivity analysis showed that the Buruli ulcer epidemic is highly influenced by the shedding and clearance rates of Mycobacterium ulcerans in the environment. The model is found to fit reasonably well to data from Ghana and projections on the future of the Buruli ulcer epidemic are also made. CONCLUSIONS: The model reasonably fitted data from Ghana. The fitting process showed data that appeared to have reached a steady state and projections showed that the epidemic levels will remain the same for the projected time. The implications of the results to policy and future management of the disease are discussed. BioMed Central 2015-11-06 /pmc/articles/PMC4636839/ /pubmed/26545356 http://dx.doi.org/10.1186/s13104-015-1619-5 Text en © Nyabadza and Bonyah. 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated. |
spellingShingle | Research Article Nyabadza, Farai Bonyah, Ebenezer On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model |
title | On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model |
title_full | On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model |
title_fullStr | On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model |
title_full_unstemmed | On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model |
title_short | On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model |
title_sort | on the transmission dynamics of buruli ulcer in ghana: insights through a mathematical model |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4636839/ https://www.ncbi.nlm.nih.gov/pubmed/26545356 http://dx.doi.org/10.1186/s13104-015-1619-5 |
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