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

Aida Mojaver and Hossein Kheiri

Applied Mathematics and Computation, 2015, vol. 259, issue C, 258-270

Abstract: 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.

Keywords: HIV; Drug therapy; Cell-to-cell transmission; Latently infected T-cells; Lyapunov function; Global stability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:258-270

DOI: 10.1016/j.amc.2015.02.064

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