Global Properties for an HIV-1 Infection Model Including an Eclipse Stage of Infected Cells and Saturation Infection
Автор(ы):
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
Аннотация:
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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