Mathematical analysis of a class of HIV infection models of CD4+ T-cells with combined antiretroviral therapy

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摘要

Based on some important biological meanings, we propose a class of HIV infection models incorporating both classical cell-free virus diffusion and direct cell-to-cell transmission. According to recent studies, the direct cell-to-cell transfer of HIV is a significantly more efficient mode of retroviral dissemination. In the first part of our analysis, we show that our model possesses non-negative solutions. Then, we derive sufficient conditions for the asymptotic stability of equilibriums. The analytical solutions are verified by simulation results. At the end of the paper, some important conclusions are given.

论文关键词:HIV,Drug therapy,Cell-to-cell transmission,Latently infected T-cells,Lyapunov function,Global stability

论文评审过程:Available online 14 March 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.02.064