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Zbl 1222.34101
Xu, Rui
Global stability of an HIV-1 infection model with saturation infection and intracellular delay. (English)
[J] J. Math. Anal. Appl. 375, No. 1, 75-81 (2011). ISSN 0022-247X

Author's abstract: An HIV-1 infection model with a saturation infection rate and an intracellular delay accounting for the time between viral entry into a target cell and the production of new virus particles is investigated. By analyzing the characteristic equations, the local stability of an infection-free equilibrium and a chronic-infection equilibrium of the model is established. By using suitable Lyapunov functionals and the LaSalle invariant principle, it is proved that if the basic reproduction ratio is less than one, the infection-free equilibrium is globally asymptotically stable; if the basic reproduction ratio is greater than one, the chronic-infection equilibrium is globally asymptotically stable.
[Marcos Lizana (Merida)]

MSC 2000:: *34K60 Applications of functional-differential equations
92C50 Medical appl. of mathematical biology
92D30 Epidemiology
34K20 Stability theory of functional-differential equations

Keywords: HIV-1 infection; intracellular delay; global stability; Lasalle invariant principle

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