A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate

DOI10.1007/S12190-008-0191-8zbMath1226.34082OpenAlexW1993965156WikidataQ115377244 ScholiaQ115377244MaRDI QIDQ1034950

Xiangyun Shi, Xinyu Song, Xue-Yong Zhou

Publication date: 9 November 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0191-8

zbMATH Keywords

delayasymptotical stabilityHIV infectionstability switch

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Periodic solutions to functional-differential equations (34K13) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60)

Related Items (6)

Dynamics of an HIV pathogenesis Model with Absorption and Saturation Incidence ⋮ Analysis of time delay model for drug therapy on HIV dynamics ⋮ Stability analysis for a fractional differential model of HIV infection of CD4\(^{+}\) T-cells with time delay ⋮ Global analysis of virus dynamics model with logistic mitosis, cure rate and delay in virus production ⋮ Bifurcation analysis of HIV infection model with antibody and cytotoxic T‐lymphocyte immune responses and Beddington–DeAngelis functional response ⋮ A stochastic model of HIV infection incorporating combined therapy of HAART driven by Lévy jumps

Cites Work

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• Mathematical Analysis of HIV-1 Dynamics in Vivo
• A DELAY-DIFFERENTIAL EQUATION MODEL OF HIV INFECTION OF CD4+ T-CELLS

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