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## International Journal of Applied Mathematics and Computer Science

2010 | 20 | 3 | 601-612
Tytuł artykułu

### A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we derive a model describing the dynamics of HIV-1 infection in tissue culture where the infection spreads directly from infected cells to healthy cells trough cell-to-cell contact. We assume that the infection rate between healthy and infected cells is a saturating function of cell concentration. Our analysis shows that if the basic reproduction number does not exceed unity then infected cells are cleared and the disease dies out. Otherwise, the infection is persistent with the existence of an infected equilibrium. Numerical simulations indicate that, depending on the fraction of cells surviving the incubation period, the solutions approach either an infected steady state or a periodic orbit.
Słowa kluczowe
EN
Rocznik
Tom
Numer
Strony
601-612
Opis fizyczny
Daty
wydano
2010
otrzymano
2009-05-31
poprawiono
2010-03-28
Twórcy
autor
• Laboratory of Applied Mathematics, Badji-Mokhtar University, BP 12, Annaba 23000, Algeria
autor
• Institute of Mathematics of Bordeaux, UMR CNRS 52 51, Case 36, Université Victor Segalen Bordeaux 2, 3 ter place de la Victoire, F 33076 Bordeaux Cedex, France
Bibliografia
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Bibliografia
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