A model for control of HIV/AIDS with parental care

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dc.contributor.authorAbiodun, Gbenga Jacob
dc.contributor.authorMarcus, Nizar
dc.contributor.authorOkosun, Kazeem Oare
dc.contributor.authorWitbooi, Peter J.
dc.date.accessioned2017-06-28T09:59:01Z
dc.date.available2017-06-28T09:59:01Z
dc.date.issued2013
dc.description.abstractIn this study we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyze a mathematical model that describes the dynamics of HIV infection among the immigrant youths and how parental care can minimize or prevent the spread of the disease in the population. We analyze the model with both screening control and parental care, then investigate its stability and sensitivity behavior. We also conduct both qualitative and quantitative analyses. It is observed that in the absence of infected youths, disease-free equilibrium is achievable and is globally asymptotically stable. We establish optimal strategies for the control of the disease with screening and parental care, and provide numerical simulations to illustrate the analytic results.en_US
dc.description.accreditationWeb of Science
dc.identifier.citationAbiodun, G. et al. (2013). A model for control of HIV/aids with parental care. International Journal of Biomathematics, 6(2)en_US
dc.identifier.issn1793-5245
dc.identifier.urihttp://hdl.handle.net/10566/3008
dc.identifier.urihttp://dx.doi.org/10.1142/S179352451350006X
dc.language.isoenen_US
dc.privacy.showsubmitterFALSE
dc.publisherWorld Scientific Publishing
dc.rightsThis is the author-version of the article posted online at: http://dx.doi.org/10.1142/S179352451350006X
dc.status.ispeerreviewedTRUE
dc.subjectHIV/AIDSen_US
dc.subjectInfected immigrantsen_US
dc.subjectBasic reproduction numberen_US
dc.subjectDisease-free equilibriumen_US
dc.subjectEndemic equilibriumen_US
dc.subjectParental careen_US
dc.titleA model for control of HIV/AIDS with parental careen_US
dc.typeArticleen_US

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