Modelling the Effect of Screening on the Spread of HIV Infection in a Population with Variable Inflow of Infective Immigrants
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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Research
Abstract
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.
Description
Keywords
Human immunodeficiency virus/acquired immune deficiency syndrome, Screening, Infective immigrants, Reproductive number, Stability analysis, Numerical simulation
Citation
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.