The global dynamics of a model about HIV-1 infection in vivo |
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Authors: | Qingzhi Wen Jie Lou |
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Institution: | (1) Department of Mathematics, Shanghai University, 99 Shangda Road, 200444 Shanghai, People’s Republic of China |
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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 possible equilibriums: the healthy equilibrium, and the infected steady state. The basic reproduction
number R
0 is introduced. When R
0 < 1, the healthy equilibrium is globally stable and when R
0 > 1, the infected equilibrium exists and is globally stable. Through simulations, we find that, the cell-to-cell HIV transmission
is very important for the final outcome of the HIV attacking. Some important clinical observations about the HIV infection
situation in lymph node are also verified.
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Keywords: | HIV-1 infection Virus-to-cell transmission Cell-to-cell HIV transmission Dynamical model |
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