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Role of CD4 + T-cell proliferation in HIV infection under antiretroviral therapy. (English) Zbl 1275.92033
The authors study a mathematical model describing the interaction between HIV viruses and CD4+ T cells. Both RT and protease inhibitor treatments are incorporated in the model. They assume that the CD4+ T cells proliferate according to a saturation form which is different from the commonly used logistic proliferation form in the literature. Both local and global analyses are carried out. A backward bifurcation has been observed. The global stability of the unique infected equilibrium has been established by using a new criterion developed by M.Y. Li and J.S. Muldowney which has been successfully utilized by some researchers for some high dimensional systems.
MSC:
92C50Medical applications of mathematical biology
92C60Medical epidemiology
34C60Qualitative investigation and simulation of models (ODE)
37N25Dynamical systems in biology
34C23Bifurcation (ODE)
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