Wang, YanZhou, Yi-cang2012-07-172012-07-172010Wang, Y., & Zhou, Y. (2010). Mathematical Modeling and Dynamics of HIV Progression and Treatment. Chinese Journal of Engineering Mathematics, 3. doi: CNKI:SUN:GCSX.0.2010-03-0221005-3085http://hdl.handle.net/10625/49802This article presents a brief review on the modeling and dynamics of HIV infection in vivo. We introduce typical mathematical models on the interaction between CD4~+ T-cells and virus particles, as well as the drug therapy. We focus on theoretical results and simulations of ODEs, DDEs, integro-differential equations and impulsive differential equations. Parameter values of those models are collected in a table for reader’s reference.TextenHIVT-CELLSDRUG RESISTANCEDRUG THERAPYTIME DELAYASYMPTOTIC STABILITYT-LYMPHOCYTESCD4 LYMPHOCYTE COUNTMATHEMATICAL MODELSAbstract