Bifurcation analysis of the Nowak-Bangham model in CTL dynamics

DOI10.1016/j.mbs.2009.06.005zbMath1172.92020OpenAlexW1963992567WikidataQ39891807 ScholiaQ39891807MaRDI QIDQ733251

Chikahiro Egami

Publication date: 15 October 2009

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2009.06.005

zbMATH Keywords

Hopf bifurcationbasic reproduction numberimmune responsedrug therapy model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Physiology (general) (92C30) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

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• Killer cell dynamics. Mathematical and computational approaches to immunology.
• Criterion of Hopf bifurcations without using eigenvalues
• Nonlinear oscillations in models of immune responses to persistent viruses
• Generalized form of Hurwitz-Routh criterion and Hopf bifurcation of higher order
• Stability analysis of pathogen-immune interaction dynamics
• A note on the stability analysis of pathogen-immune interaction dynamics
• Mathematical Analysis of HIV-1 Dynamics in Vivo

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