Modelling the Role of Diagnosis, Treatment, and Health Education on Multidrug-Resistant Tuberculosis Dynamics
Joint Authors
Hove-Musekwa, S. D.
Mwamtobe, P. M. M.
Maliyoni, M.
Tchuenche, Jean M.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-16
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Tuberculosis, an airborne disease affecting almost a third of the world’s population remains one of the major public health burdens globally, and the resurgence of multidrug-resistant tuberculosis in some parts of sub-Saharan Africa calls for concern.
To gain insight into its qualitative dynamics at the population level, mathematical modeling which require as inputs key demographic and epidemiological information can fill in gaps where field and lab data are not readily available.
A deterministic model for the transmission dynamics of multi-drug resistant tuberculosis to assess the impact of diagnosis, treatment, and health education is formulated.
The model assumes that exposed individuals develop active tuberculosis due to endogenous activation and exogenous re-infection.
Treatment is offered to all infected individuals except those latently infected with multi-drug resistant tuberculosis.
Qualitative analysis using the theory of dynamical systems shows that, in addition to the disease-free equilibrium, there exists a unique dominant locally asymptotically stable equilibrium corresponding to each strain.
Numerical simulations suggest that, at the current level of control strategies (with Malawi as a case study), the drug-sensitive tuberculosis can be completely eliminated from the population, thereby reducing multi-drug resistant tuberculosis.
American Psychological Association (APA)
Maliyoni, M.& Mwamtobe, P. M. M.& Hove-Musekwa, S. D.& Tchuenche, Jean M.. 2012. Modelling the Role of Diagnosis, Treatment, and Health Education on Multidrug-Resistant Tuberculosis Dynamics. ISRN Biomathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-473267
Modern Language Association (MLA)
Maliyoni, M.…[et al.]. Modelling the Role of Diagnosis, Treatment, and Health Education on Multidrug-Resistant Tuberculosis Dynamics. ISRN Biomathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-473267
American Medical Association (AMA)
Maliyoni, M.& Mwamtobe, P. M. M.& Hove-Musekwa, S. D.& Tchuenche, Jean M.. Modelling the Role of Diagnosis, Treatment, and Health Education on Multidrug-Resistant Tuberculosis Dynamics. ISRN Biomathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-473267
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473267