Journal of Applied Mathematics & Bioinformatics

Analysis of stability about the CD4+ T-cells dynamics with nonlinear infection rate

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• Abstract

  In this paper, we analyze mathematical models for the infection of human immunodeficiency virus-type 1(HIV-1) with target cells between initial infection. Assuming that the infection among the cells can be approximated, we consider the classical mathematical model with nonlinear infection rate. We prove that, if R0<1, the HIV infection is cleared from the T-cells population; if R0 > 1 the HIV infection persists.