Impact of early treatment programs on HIV epidemics: an immunity-based mathematical model

DOI10.1016/j.mbs.2016.07.009zbMath1350.34040OpenAlexW2502271486WikidataQ39543694 ScholiaQ39543694MaRDI QIDQ328854

Naveen K. Vaidya, Xingfu Zou, S. M. Ashrafur Rahman

Publication date: 21 October 2016

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2016.07.009

zbMATH Keywords

HIVbasic reproduction numberantiretroviral therapyCD4+ T cell countcommunity-level immunity

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

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Cites Work

• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Introduction to functional differential equations
• Modeling the three stages in HIV infection
• Modelling HIV/AIDS in the presence of an HIV testing and screening campaign
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Persistence in Infinite-Dimensional Systems
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)

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