Browsing by Author "Shabani, Issa"

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    Modelling the Effect of Screening on the Spread of HIV Infection in a Population with Variable Inflow of Infective Immigrants
    (Scientific Research, 2011) Shabani, Issa; Massawe, Estomih S.; Makinde, Oluwole D.
    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.