Asymptotic properties of a HIV-1 infection model with time delay. (English) Zbl 1130.34052

Li, Dan; Ma, Wanbiao

J. Math. Anal. Appl. 335, No. 1, 683-691 (2007).

Summary: A class of more general HIV-1 infection models with time delay is proposed where the delay represents the time from being infected to being infections. The effect of this time delay on stability of the equilibria is examined and sufficient criteria for local asymptotic stability of the infected equilibrium and global asymptotic stability of the viral free equilibrium are given.

MSC:

34K20	Stability theory of functional-differential equations
92D30	Epidemiology

Keywords:

HIV-1 infection; time delay; transcendental equation; asymptotic stability

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