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- W3119335280 abstract "In this paper, we consider an improved Human T-lymphotropic virus type I (HTLV-I) infection model with the mitosis of CD4+ T cells and delayed cytotoxic T-lymphocyte (CTL) immune response by analyzing the distributions of roots of the corresponding characteristic equations, the local stability of the infection-free equilibrium, the immunity-inactivated equilibrium, and the immunity-activated equilibrium when the CTL immune delay is zero is established. And we discuss the existence of Hopf bifurcation at the immunity-activated equilibrium. We define the immune-inactivated reproduction ratio R0 and the immune-activated reproduction ratio R1. By using Lyapunov functionals and LaSalle’s invariance principle, it is shown that if R0 < 1, the infection-free equilibrium is globally asymptotically stable; if R1 < 1 < R0, the immunity-inactivated equilibrium is globally asymptotically stable; if R1 > 1, the immunity-activated equilibrium is globally asymptotically stable when the CTL immune delay is zero. Besides, uniform persistence is obtained when R1 > 1. Numerical simulations are carried out to illustrate the theoretical results." @default.
- W3119335280 created "2021-01-18" @default.
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- W3119335280 date "2021-01-01" @default.
- W3119335280 modified "2023-09-23" @default.
- W3119335280 title "Mathematical analysis of an HTLV-I infection model with the mitosis of CD4+ T cells and delayed CTL immune response" @default.
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- W3119335280 doi "https://doi.org/10.15388/namc.2021.26.21050" @default.
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