Open Access
2014 Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection
Can Chen, Yanni Xiao
Abstr. Appl. Anal. 2014(SI01): 1-12 (2014). DOI: 10.1155/2014/414383


A mathematical model is proposed to consider the effects of saturated diagnosis and vaccination on HIV/AIDS infection. By employing center manifold theory, we prove that there exists a backward bifurcation which suggests that the disease cannot be eradicated even if the basic reproduction number is less than unity. Global stability of the disease-free equilibrium is investigated for appropriate conditions. When the basic reproduction number is greater than unity, the system is uniformly persistent. The proposed model is applied to describe HIV infection among injecting drug users (IDUs) in Yunnan province, China. Numerical studies indicate that new cases and prevalence are sensitive to transmission rate, vaccination rate, and vaccine efficacy. The findings suggest that increasing vaccination rate and vaccine efficacy and enhancing interventions like reducing share injectors can greatly reduce the transmission of HIV among IDUs in Yunnan province, China.


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Can Chen. Yanni Xiao. "Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection." Abstr. Appl. Anal. 2014 (SI01) 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022348
MathSciNet: MR3193513
Digital Object Identifier: 10.1155/2014/414383

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI01 • 2014
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