Modelling the Effect of Screening on the Spread of HIV Infection in a Population with Variable Inflow of Infective Immigrants

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dc.contributor.authorShabani, Issa
dc.contributor.authorMassawe, Estomih S.
dc.contributor.authorMakinde, Oluwole D.
dc.date.accessioned2016-06-26T17:45:59Z
dc.date.available2016-06-26T17:45:59Z
dc.date.issued2011
dc.description.abstractThis paper examines the combined effects of screening and variable inflow of infective immigrants on the spread of HIV/AIDS (human immunodeficiency virus/acquired immune deficiency syndrome) in a population of varying size. A nonlinear deterministic mathematical model for the problem is proposed and analysed qualitatively using the stability theory of differential equations. The results show that the reproductive number R0 >1 as the rate of inflow of infective immigrants increases leading to persistence of the disease in the population. However, the presence of screening greatly reduces the spread of HIV/AIDS. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the spread of the disease.en_US
dc.identifier.citationShabani, I., Massawe, E.S. and Makinde, O.D., 2011. Modelling the effect of screening on the spread of HIV infection in a population with variable inflow of infective immigrants. Scientific Research and Essays, 6(20), pp.4397-4405.en_US
dc.identifier.issn1992-2248
dc.identifier.other10.5897/SRE11.385
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2777
dc.language.isoenen_US
dc.publisherScientific Researchen_US
dc.subjectHuman immunodeficiency virus/acquired immune deficiency syndromeen_US
dc.subjectScreeningen_US
dc.subjectInfective immigrantsen_US
dc.subjectReproductive numberen_US
dc.subjectStability analysisen_US
dc.subjectNumerical simulationen_US
dc.titleModelling the Effect of Screening on the Spread of HIV Infection in a Population with Variable Inflow of Infective Immigrantsen_US
dc.typeJournal Article, Peer Revieweden_US
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