Shabani, IssaMassawe, Estomih S.Makinde, Oluwole D.2016-06-262016-06-262011Shabani, 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.4397-4405.1992-224810.5897/SRE11.385http://hdl.handle.net/20.500.11810/2777This 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.enHuman immunodeficiency virus/acquired immune deficiency syndromeScreeningInfective immigrantsReproductive numberStability analysisNumerical simulationJournal Article, Peer Reviewed