Abstract
A four dimension ODE model is built to study the infection of human immunodeficiency virus (HIV) in vivo. We include in this model four components: the healthy T cells, the latent-infected T cells, the active-infected T cells and the HIV virus. Two types of HIV transmissions in vivo are also included in the model: the virus-to-cell transmission, and the cell-to-cell HIV transmission. There are two pos- sible equilibriums: the healthy equilibrium, and the infected steady state. The basic reproduction number R0 is introduced. When R0 1, the infected equilibrium exists and is globally stable. Through simulations, we find that, the cell-to-cell HIV transmission is very important forthefinaloutcomeoftheHIVattacking.Someimportantclinicalobservationsabout the HIV infection situation in lymph node are also verified.
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