MODELING HIV-1 VIRUS DYNAMICS WITH BOTH VIRUS-TO-CELL INFECTION AND CELL-TO-CELL TRANSMISSION

Direct cell-to-cell transfer of HIV-1 is found to be a more potent and efficient means of virus propagation than virus-to-cell infection. In this paper we propose a mathematical model to consider these two modes of viral infection and spread, in which infection age is also incorporated. By a rigorou...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 2014-01, Vol.74 (3), p.898-917
Main Authors: LAI, XIULAN, ZOU, XINGFU
Format: Article
Language:English
Subjects:
Age
Antiretrovirals
Applied mathematics
Disease transmission
Dynamic tests
Dynamical systems
Dynamics
Genomes
HIV
HIV 1
HIV infections
Human immunodeficiency virus
Human immunodeficiency virus 1
Infections
Lymphocytes
Mathematical models
Probability distribution
Reproduction
Spreads
Synapses
Synaptic transmission
T lymphocytes
Thresholds
Viral infections
Virions
Viruses
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Summary:Direct cell-to-cell transfer of HIV-1 is found to be a more potent and efficient means of virus propagation than virus-to-cell infection. In this paper we propose a mathematical model to consider these two modes of viral infection and spread, in which infection age is also incorporated. By a rigorous analysis of the model, we show that the model demonstrates a global threshold dynamics, fully described by the basic reproduction number, which is identified explicitly. The formula for the basic reproduction number of our model reveals that the basic reproduction number of a model that neglects either cell-to-cell spread or virus-to-cell infection might be underevaluated.
ISSN:0036-1399
1095-712X
DOI:10.1137/130930145