SATURATION EFFECTS FOR CTL MEDIATED CONTROL OF HIV-1 INFECTION: A MATHEMATICAL STUDY

DOI10.1142/S1793524513500137zbMath1296.92127MaRDI QIDQ2921508

Sonia Chowdhury, Priti Kumar Roy, Xue-Zhi Li

Publication date: 8 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

optimal controlHIV-1\(\mathrm{CD}4^{+}\mathrm{T}\) cellscytotoxic T-Lymphocyte (CTL)highly active anti-retroviral therapy

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Control problems involving ordinary differential equations (34H05) Medical epidemiology (92C60) Stability theory for smooth dynamical systems (37C75)

Related Items (4)

Global dynamics of a viral infection model with full logistic terms and antivirus treatments ⋮ Mathematical modelling of enfuvirtide and protease inhibitors as combination therapy for HIV ⋮ The role of HPV on cervical cancer with several functional response: a control based comparative study ⋮ Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation

Cites Work

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• 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
• Dynamics of HIV infection of CD4\(^ +\) T cells
• Oscillatory viral dynamics in a delayed HIV pathogenesis model
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• A New Mathematical Model for Assessing Therapeutic Strategies for HIV Infection

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