THE IMPACT OF THE CD8+ CELL NON-CYTOTOXIC ANTIVIRAL RESPONSE (CNAR) AND CYTOTOXIC T LYMPHOCYTE (CTL) ACTIVITY IN A CELL-TO-CELL SPREAD MODEL FOR HIV-1 WITH A TIME DELAY

DOI10.1142/S0218339004001038zbMath1099.34048OpenAlexW2017708812MaRDI QIDQ5468574

Zhien Ma, Jianquan Li, Jie Lou, Yiming Shao, Litao Han

Publication date: 10 May 2006

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339004001038

zbMATH Keywords

stabilitydelayHIV-1cell to cell spreadingCTL activity

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells ⋮ A stochastic HIV/HTLV-I co-infection model incorporating the AIDS-related cancer cells ⋮ A time delay model about AIDS-related cancer: equilibria, cycles and chaotic behavior ⋮ Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells

Cites Work

• HIV-1 infection and low steady state viral loads
• HIV-1 infection kinetics in tissue cultures
• Influence of delayed viral production on viral dynamics in HIV-1 infected patients
• Optimal control of the chemotherapy of HIV
• A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells

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