Hopf bifurcation analysis of delayed model of thymic infection with HIV-1

DOI10.1016/J.AMC.2012.05.038zbMath1278.92027OpenAlexW2128381360MaRDI QIDQ387683

Mohammad Hasan, H. S. Yoon

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.038

zbMATH Keywords

stabilitydelayHopf bifurcationHIV-1thymus model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60)

Related Items (5)

Stability and multi-parametric Hopf bifurcation analyses of viral infection model with time delay ⋮ Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays ⋮ Mathematical analysis of a model for thymus infection with discrete and distributed delays ⋮ Stability and Hopf bifurcation of a delayed virus infection model with Beddington-DeAngelis infection function and cytotoxic T-lymphocyte immune response ⋮ Hopf bifurcation of a chemostat model

Cites Work

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• Influence of delayed viral production on viral dynamics in HIV-1 infected patients
• Introduction to functional differential equations
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Mathematical analysis of delay differential equation models of HIV-1 infection
• A model of HIV-1 pathogenesis that includes an intracellular delay

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