Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Global Properties for an HIV-1 Infection Model Including an Eclipse Stage of Infected Cells and Saturation Infection

Author(s):

Mahmoud Hesaaraki

Department of mathematics,
Sharif University of Technology,
P.O.Box: 11155-9414,
Tehran Iran

hesaraki@sharif.edu

Mahtab Sabzevari

Department of mathematics,
Sharif University of Technology,
P.O.Box: 11155-9414,
Tehran Iran

sabzevari.mahtab@yahoo.com

Abstract:

In this paper we study a fourth-dimensional human immunodeficiency virus (HIV) model including an eclipse stage of infected cells and saturation infection. One feature of this model is that an eclipse stage for the infected cells is included and cells in this stage may revert to the uninfected class . The other feature is that system has nonlinear incidence of infection of health CD4^+T cells. For the analysis of nonlinear autonomous differential equations with or without time delay, the stability of equilibria is important. We will obtain sufficient conditions for the global stability of the equilibria system by using Lyapunov direct method and the geometric approach to stability, based on the generalization of the Poincare-Bendixson criterion for system of n ordinary differential equations.

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