Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response

DOI10.1007/s12190-009-0285-yzbMath1203.34134OpenAlexW2142656638MaRDI QIDQ980429

Shaoli Wang, Xinyu Song, Xue-Yong Zhou

Publication date: 29 June 2010

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0285-y

zbMATH Keywords

Hopf bifurcationcenter manifoldfunctional differential equationsviral infection

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60) Invariant manifolds of functional-differential equations (34K19)

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Cites Work

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• Global stability and periodic solution of the viral dynamics
• Complex dynamic behavior in a viral model with delayed immune response
• Analysis of stability and Hopf bifurcation for an HIV infection model with time delay
• 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
• Time delay in a basic model of the immune response
• Global stability in a viral infection model with lytic and nonlytic immune responses
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• LYAPUNOV FUNCTION AND GLOBAL PROPERTIES OF VIRUS DYNAMICS WITH CTL IMMUNE RESPONSE
• A DELAY-DIFFERENTIAL EQUATION MODEL OF HIV INFECTION OF CD4+ T-CELLS

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