Modeling the HIV/AIDS epidemic among injecting drug users and sex workers in Kunming, China

DOI10.1007/s11538-005-9051-yzbMath1334.92389OpenAlexW2062678898WikidataQ42689290 ScholiaQ42689290MaRDI QIDQ263628

Xamxinur Abdurahman, Jianli Ye, Nicolas Bacaër

Publication date: 5 April 2016

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-005-9051-y

zbMATH Keywords

injecting drug usersChina\(R_0\)HIV/AIDSfemale sex workersKermack-McKendrick epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (10)

Modeling and control for HIV/AIDS transmission in China based on data from 2004 to 2016 ⋮ Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment ⋮ The failure of \(R_{0}\) ⋮ Study on a HIV/AIDS model with application to Yunnan province, China ⋮ Modeling saturated diagnosis and vaccination in reducing HIV/AIDS infection ⋮ A Side-by-Side Single Sex Age-Structured Human Population Dynamic Model: Exact Solution and Model Validation ⋮ Global dynamics of an HIV model incorporating senior male clients ⋮ Modeling sexual transmission of HIV/AIDS in Jiangsu province, China ⋮ Mathematical model of transmission dynamics of human immune-deficiency virus: a case study for Yunnan, China ⋮ Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China

Uses Software

• Prism
• GraphPad Prism

Cites Work

• On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). I: Single population models
• Using mathematical models to understand the AIDS epidemic
• Stability of the endemic equilibrium in epidemic models with subpopulations
• The HIV/AIDS epidemics among drug injectors: A study of contact structure through a mathematical model
• The general mixing of addicts and needles in a variable-infectivity needle-sharing environment
• Matrix Analysis
• Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission
• How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
• Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
• The asymptotic behavior of the McKendrick equation with immigration
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