Stability and Hopf bifurcation in a delayed model for HIV infection of CD\(4^+\) T cells

DOI10.1016/J.CHAOS.2008.04.048zbMath1198.37119OpenAlexW2094823258MaRDI QIDQ603422

Li-Ming Cai, Xue-Zhi Li

Publication date: 7 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.04.048

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18)

Related Items (18)

Stability analysis of a delayed HIV-TB co-infection model in resource limitation settings ⋮ Global dynamics of a viral infection model with full logistic terms and antivirus treatments ⋮ Backward bifurcation and stability analysis in a within-host HIV model with both virus-to-cell infection and cell-to-cell transmission, and anti-retroviral therapy ⋮ Effect of explicit dynamics of free virus and intracellular delay ⋮ Dynamical analysis of EIAV infection with cytotoxic T-lymphocyte immune response delay ⋮ Complete classification of global dynamics of a virus model with immune responses ⋮ Global stability of an HIV pathogenesis model with cure rate ⋮ The stability and Hopf bifurcation for an HIV model with saturated infection rate and double delays ⋮ Analytical approach to study a mathematical model of CD4+T-cells ⋮ A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells ⋮ Analysis of the dynamics of a delayed HIV pathogenesis model ⋮ Global properties for virus dynamics model with mitotic transmission and intracellular delay ⋮ Stability and Hopf bifurcation analysis of immune response delayed HIV type 1 infection model with two target cells ⋮ On global stability of an HIV pathogenesis model with cure rate ⋮ Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation ⋮ Threshold dynamics for an HIV model in periodic environments ⋮ Global stability of a delayed and diffusive virus model with nonlinear infection function ⋮ Bifurcation analysis of HIV infection model with antibody and cytotoxic T‐lymphocyte immune responses and Beddington–DeAngelis functional response

Cites Work

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