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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.creator Shabani, Issa
dc.creator Massawe, Estomih S.
dc.creator Makinde, Oluwole D.
dc.date 2016-06-26T17:45:59Z
dc.date 2016-06-26T17:45:59Z
dc.date 2011
dc.date.accessioned 2018-03-27T08:57:56Z
dc.date.available 2018-03-27T08:57:56Z
dc.identifier Shabani, 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.
dc.identifier 1992-2248
dc.identifier 10.5897/SRE11.385
dc.identifier http://hdl.handle.net/20.500.11810/2777
dc.identifier.uri http://hdl.handle.net/20.500.11810/2777
dc.description This 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.
dc.language en
dc.publisher Scientific Research
dc.subject Human immunodeficiency virus/acquired immune deficiency syndrome
dc.subject Screening
dc.subject Infective immigrants
dc.subject Reproductive number
dc.subject Stability analysis
dc.subject Numerical simulation
dc.title Modelling the Effect of Screening on the Spread of HIV Infection in a Population with Variable Inflow of Infective Immigrants
dc.type Journal Article, Peer Reviewed


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