Optimal control of HIV/AIDS in the workplace in the presence of careless individuals

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dc.contributor.authorSeidu, Babaen_ZA
dc.contributor.authorMakinde, Oluwole D.en_ZA
dc.date.accessioned2016-01-18T09:36:16Z
dc.date.available2016-01-18T09:36:16Z
dc.date.issued2014-06-26
dc.descriptionPlease cite as follows: Seidu, B. & Makinde, O. D. 2014. Optimal control of HIV/AIDS in the workplace in the presence of careless individuals. Computational and Mathematical Methods in Medicine, 2014:1-19 (Article ID 831506), doi:10.1155/2014/831506.en_ZA
dc.descriptionThe original publication is available at http://www.hindawi.com/journals/cmmmen_ZA
dc.description.abstractA nonlinear dynamical system is proposed and qualitatively analyzed to study the dynamics of HIV/AIDS in the workplace. The disease-free equilibrium point of the model is shown to be locally asymptotically stable if the basic reproductive number, R0, is less than unity and the model is shown to exhibit a unique endemic equilibrium when the basic reproductive number is greater than unity. It is shown that, in the absence of recruitment of infectives, the disease is eradicated when R0 < 1, whiles the disease is shown to persist in the presence of recruitment of infected persons. The basic model is extended to include control efforts aimed at reducing infection, irresponsibility, and nonproductivity at the workplace. This leads to an optimal control problem which is qualitatively analyzed using Pontryagin’s Maximum Principle (PMP). Numerical simulation of the resulting optimal control problem is carried out to gain quantitative insights into the implications of the model. The simulation reveals that a multifaceted approach to the fight against the disease is more effective than single control strategies.en_ZA
dc.description.urihttp://www.hindawi.com/journals/cmmm/2014/831506/
dc.description.versionPublisher's versionen_ZA
dc.format.extent19 pagesen_ZA
dc.identifier.citationSeidu, B. & Makinde, O. D. 2014. Optimal control of HIV/AIDS in the workplace in the presence of careless individuals. Computational and Mathematical Methods in Medicine, 2014:1-19 (Article ID 831506), doi:10.1155/2014/831506.en_ZA
dc.identifier.issn1748-6718 (online)
dc.identifier.issn1748-670X (print)
dc.identifier.otherdoi:10.1155/2014/831506
dc.identifier.urihttp://hdl.handle.net/10019.1/98179
dc.language.isoen_ZAen_ZA
dc.publisherHindawi Publishing Corporationen_ZA
dc.rights.holderAuthors retain copyrighten_ZA
dc.subjectHIV positive persons -- Employmenten_ZA
dc.subjectAIDS (Disease) -- Social aspectsen_ZA
dc.subjectEmployee health promotionen_ZA
dc.titleOptimal control of HIV/AIDS in the workplace in the presence of careless individualsen_ZA
dc.typeArticleen_ZA
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