Modelling and analysis of dynamics of viral infection of cells and of interferon resistance

DOI10.1016/J.JMAA.2008.02.069zbMath1137.92019OpenAlexW2122416091MaRDI QIDQ929561

Marek Kimmel, Philipp Getto, Anna Marciniak-Czochra

Publication date: 17 June 2008

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.2008.02.069

zbMATH Keywords

ordinary differential equationstransport equationasymptotic analysisdelay-differential equationsstructured population modellinearised stabilityinfection modelinterferon signallingMikhailov criterion

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative theory for ordinary differential equations (34C99) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (3)

Towards multiscale modeling of influenza infection ⋮ Bifurcation Analysis of a Diffusive Virus Infection and Immune Response Model with Two Delays ⋮ Reaction-diffusion equations in immunology

Cites Work

• Delay equations. Functional-, complex-, and nonlinear analysis
• BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Functional differential equations
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