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• W3098984539 abstract "In this paper, we consider an HIV infection model with saturated infection rate, intracellular delay and saturated cytotoxic T lymphocyte (CTL) immune response. By calculation, we obtain immunity-inactivated reproduction number $mathscr{R}_0$ and immunity-activated reproduction number $mathscr{R}_1$. By analyzing the distribution of roots of the corresponding characteristic equations, we study the local stability of an infection-free equilibrium, an immunity-inactivated equilibrium and an immunity-activated equilibrium of the model. By constructing suitable Lyapunov functionals and using LaSalle's invariance principle, we show that if $mathscr{R}_0 < 1$, the infection-free equilibrium is globally asymptotically stable; If $mathscr{R}_1 < 1 < mathscr{R}_0$, the immunity-inactivated equilibrium is globally asymptotically stable; If $mathscr{R}_1>1$, the immunity-activated equilibrium is globally asymptotically stable. Sensitivity analyses are carried out to show the effects of parameters on the immunity-activated reproduction number $mathscr{R}_{1}$ and the viral load." @default.
• W3098984539 created "2020-11-23" @default.
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• W3098984539 date "2021-01-01" @default.
• W3098984539 modified "2023-09-29" @default.
• W3098984539 title "Global stability of an HIV infection model with saturated CTL immune response and intracellular delay" @default.
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• W3098984539 doi "https://doi.org/10.3934/mbe.2021003" @default.
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