Stability analysis of delay differential equation models of HIV-1 therapy for fighting a virus with another virus

DOI10.1016/J.JMAA.2008.11.026zbMath1160.37437OpenAlexW1965601173WikidataQ115346211 ScholiaQ115346211MaRDI QIDQ1018669

Cuifang Lv, Zhao-hui Yuan

Publication date: 20 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.026

zbMATH Keywords

stabilityLyapunov functioncharacteristic equationfluctuation lemmaLasalle's invariance principleHIV-1 dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Periodic solutions to functional-differential equations (34K13)

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Cites Work

• Asymptotic properties of an HIV/AIDS model with a time delay
• Influence of delayed viral production on viral dynamics in HIV-1 infected patients
• Fighting a virus with a virus: A dynamic model for HIV-1 therapy
• Mathematical analysis of delay differential equation models of HIV-1 infection
• Dynamics of HIV infection of CD4\(^ +\) T cells
• Qualitative theory of compartmental systems with lags.
• A model of HIV-1 pathogenesis that includes an intracellular delay
• On the intra-host dynamics of HIV-1 infections
• Dynamics of an HIV-1 therapy model of fighting a virus with another virus
• Impact of delays in cell infection and virus production on HIV-1 dynamics
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Stability of nonautonomous systems
• Drug concentration heterogeneity facilitates the evolution of drug resistance
• Mathematical Analysis of HIV-1 Dynamics in Vivo
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