Study on a HIV/AIDS model with application to Yunnan province, China

DOI10.1016/j.apm.2011.03.004zbMath1225.92051OpenAlexW2067505971MaRDI QIDQ646202

Hongbing Luo, Ning Wang, Yicang Zhou, Manhong Jia, Tailei Zhang

Publication date: 11 November 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.03.004

zbMATH Keywords

global stabilitybasic reproduction numberHIV/AIDS

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (10)

Global stability for an HIV/AIDS epidemic model with different latent stages and treatment ⋮ Modeling and control for HIV/AIDS transmission in China based on data from 2004 to 2016 ⋮ A simple model of HIV epidemic in Italy: the role of the antiretroviral treatment ⋮ Analysing transmission dynamics of HIV/AIDS with optimal control strategy and its controlled state ⋮ A model for HIV transmission with two interacting high-risk groups ⋮ Modelling the transmission dynamics and optimal control strategies for HIV infection in China ⋮ Modeling saturated diagnosis and vaccination in reducing HIV/AIDS infection ⋮ Dynamical behaviour of an HIV/AIDS epidemic model ⋮ 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

Cites Work

• Unnamed Item
• Modeling the HIV/AIDS epidemic among injecting drug users and sex workers in Kunming, China
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Asymptotic properties of an HIV/AIDS model with a time delay
• Effects of public health educational campaigns and the role of sex workers on the spread of HIV/AIDS among heterosexuals
• Modeling and prediction of HIV in China: transmission rates structured by infection ages
• Inertia characteristics of self-adjoint matrix polynomials
• The reproductive number for an HIV model with differential infectivity and staged progression
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

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