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

No Thumbnail Available

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Scientific Research

Abstract

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.

Keywords

Human immunodeficiency virus/acquired immune deficiency syndrome, Screening, Infective immigrants, Reproductive number, Stability analysis, Numerical simulation

Citation

URI

http://hdl.handle.net/20.500.11810/2777

Collections

Department of Mathematics