A Theoretical Model for the Transmission Dynamics of the Buruli Ulcer with Saturated Treatment
Joint Authors
Nyabadza, Farai
Bonyah, Ebenezer
Dontwi, Isaac
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-21
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The 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.
American Psychological Association (APA)
Bonyah, Ebenezer& Dontwi, Isaac& Nyabadza, Farai. 2014. A Theoretical Model for the Transmission Dynamics of the Buruli Ulcer with Saturated Treatment. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-482076
Modern Language Association (MLA)
Bonyah, Ebenezer…[et al.]. A Theoretical Model for the Transmission Dynamics of the Buruli Ulcer with Saturated Treatment. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-482076
American Medical Association (AMA)
Bonyah, Ebenezer& Dontwi, Isaac& Nyabadza, Farai. A Theoretical Model for the Transmission Dynamics of the Buruli Ulcer with Saturated Treatment. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-482076
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482076