Modelling the effect of screening on the spread of HIV infection in a population with variable inflow of infective immigrants

Scientific Research and Essays

Issa Shabani¹ 

关键词:  ;    Human immunodeficiency virus/acquired immune deficiency syndrome;    screening;    infective immigrants;    reproductive number;    stability analysis;    numerical simulation.;   

DOI  :  10.5897/SRE11.385

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

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 implementedto investigate the sensitivity of certain key parameters on the spread of the disease.

【 授权许可】

CC BY