Modelling the trends of inpatient and outpatient rehabilitation for methamphetamine in the Western Cape province of South Africa

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dc.contributor.authorMushanyu, J.en_ZA
dc.contributor.authorNyabadza, F.en_ZA
dc.contributor.authorStewart, A. G. R.en_ZA
dc.date.accessioned2017-01-25T12:01:01Z
dc.date.available2017-01-25T12:01:01Z
dc.date.issued2015-12-18
dc.date.updated2016-12-09T12:12:06Z
dc.descriptionCITATION: Mushanyu, J., Nyabadza, F. & Stewart, A. G. R. 2015. Modelling the trends of inpatient and outpatient rehabilitation for methamphetamine in the Western Cape province of South Africa. BMC Research Notes, 8:797, doi:10.1186/s13104-015-1741-4.en_ZA
dc.descriptionThe original publication is available at http://bmcresnotes.biomedcentral.comen_ZA
dc.description.abstractBackground: Dependence on methamphetamine remains one of the major health and social problem in the Western Cape province of South Africa. We consider a mathematical model that takes into account two forms of rehabilitation, namely; inpatient and outpatient. We examine the trends of these two types of rehabilitation. We also seek to investigate the global dynamics of the developed methamphetamine epidemic model. Methods: The model is designed by likening the initiation process to an infection that spreads in a community through interactions between methamphetamine users and non-users. We make use of Lyapunov functions obtained from a suitable combination of common quadratic and Volterra-type functions to establish the global stability of the methamphetamine-persistent steady state. The least squares curve fit routine (lsqcurvefit) in Matlab with optimization is used to estimate the parameter values. Results: The model analysis shows that the model has two equilibria, the methamphetamine free equilibrium and the methamphetamine persistent equilibrium, that are both globally stable when the threshold Ra < 1 and Ra > 1, respectively. Upon fitting the model to data on drug users under rehabilitation, parameter values that give the best fit were obtained. The projections carried out the long term trends of these forms of rehabilitation. Conclusion: The results suggest that inpatient rehabilitation programs have an increased potential of enhancing the chances of recovery for methamphetamine addicts.en_ZA
dc.description.urihttp://bmcresnotes.biomedcentral.com/articles/10.1186/s13104-015-1741-4
dc.description.versionPublisher's versionen_ZA
dc.format.extent13 pages : illustrations (some colour)en_ZA
dc.identifier.citationMushanyu, J., Nyabadza, F. & Stewart, A. G. R. 2015. Modelling the trends of inpatient and outpatient rehabilitation for methamphetamine in the Western Cape province of South Africa. BMC Research Notes, 8:797, doi:10.1186/s13104-015-1741-4en_ZA
dc.identifier.issn1756-0500 (Online)
dc.identifier.otherdoi:10.1186/s13104-015-1741-4
dc.identifier.urihttp://hdl.handle.net/10019.1/100530
dc.language.isoen_ZAen_ZA
dc.publisherBioMed Centralen_ZA
dc.rights.holderAuthor retains copyrighten_ZA
dc.subjectMethamphetamine abuse -- South Africaen_ZA
dc.subjectDrug addicts -- Rehabilitation -- South Africaen_ZA
dc.subjectDrug addicts Rehabilitation -- Mathematical modelsen_ZA
dc.titleModelling the trends of inpatient and outpatient rehabilitation for methamphetamine in the Western Cape province of South Africaen_ZA
dc.typeArticleen_ZA
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