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

• Autorzy: Mahiéddine Kouche , Bedr'eddine Ainseba
• 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

HIV; periodic oscillations; persistence; stability; tissue culture

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2010
• Tom: 20
• Numer: 3
• Strony: 601-612

Daty

wydano

2010

otrzymano

2009-05-31

poprawiono

2010-03-28

Twórcy

autor

Mahiéddine Kouche

• Laboratory of Applied Mathematics, Badji-Mokhtar University, BP 12, Annaba 23000, Algeria

autor

Bedr'eddine Ainseba

• 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

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Identyfikatory

DOI

10.2478/v10006-010-0045-z