A Theoretical model for the transmission dynamics of the Buruli Ulcer with saturated treatment

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dc.contributor.authorBonyah, Ebenezeren_ZA
dc.contributor.authorDontwi, Isaacen_ZA
dc.contributor.authorNyabadza, Faraien_ZA
dc.date.accessioned2015-04-24T10:23:32Z
dc.date.available2015-04-24T10:23:32Z
dc.date.issued2014-08
dc.descriptionPublication of this article was funded by the Stellenbosch University Open Access Fund.
dc.descriptionThe original publication is available at: http://www.hindawi.com
dc.descriptionCITATION: Bonyah, E., Dontwi, I., & Nyabadza, F. 2014. A Theoretical model for the transmission dynamics of the Buruli Ulcer with saturated treatment. Computational and Mathematical Methods in Medicine, 2014, doi:10.1155/2014/576039
dc.description.abstractThe management of the Buruli ulcer (BU) in Africa is often accompanied by limited resources, delays in treatment, and macilent capacity in medical facilities. These challenges limit the number of infected individuals that access medical facilities. While most of the mathematical models with treatment assume a treatment function proportional to the number of infected individuals, in settings with such limitations, this assumption may not be valid. To capture these challenges, a mathematical model of the Buruli ulcer with a saturated treatment function is developed and studied. The model is a coupled system of two submodels for the human population and the environment. We examine the stability of the submodels and carry out numerical simulations. The model analysis is carried out in terms of the reproduction number of the submodel of environmental dynamics. The dynamics of the human population submodel, are found to occur at the steady states of the submodel of environmental dynamics. Sensitivity analysis is carried out on the model parameters and it is observed that the BU epidemic is driven by the dynamics of the environment. The model suggests that more effort should be focused on environmental management. The paper is concluded by discussing the public implications of the results.en_ZA
dc.description.versionPublishers' version
dc.identifier.citationBonyah, E., Dontwi, I., & Nyabadza, F. 2014. A Theoretical model for the transmission dynamics of the Buruli Ulcer with saturated treatment. Computational and Mathematical Methods in Medicine, 2014, doi:10.1155/2014/576039
dc.identifier.issn1748-670X (Print)
dc.identifier.issn1748-6718 (Online)
dc.identifier.otherdoi:10.1155/2014/576039
dc.identifier.urihttp://hdl.handle.net/10019.1/96515
dc.language.isoen_ZAen
dc.publisherHindawi Publishing Corporation
dc.rights.holderAuthor holds the copyright
dc.subjectBuruli ulcer -- Treatment -- Mathematical modelsen_ZA
dc.subjectMycobacterial diseases -- Environmental aspectsen_ZA
dc.subjectEnvironmental dynamicsen_ZA
dc.subjectSaturated treatment -- Mathematical modelsen_ZA
dc.titleA Theoretical model for the transmission dynamics of the Buruli Ulcer with saturated treatmenten
dc.typeArticleen
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