Bifurcations in a dynamical model of the innate immune system response to initial pulmonary infection

DOI10.1007/s12346-022-00573-2zbMath1492.34062OpenAlexW4214600942MaRDI QIDQ2114407

Min Lu, Juan Su, Ji-Cai Huang

Publication date: 15 March 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00573-2

zbMATH Keywords

degenerate Hopf bifurcationresultant eliminationdegenerate Bogdanov-Takens bifurcationinnate immunepulmonary infection

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
• Bifurcation Analysis of a Dynamical Model for the Innate Immune Response to Initial Pulmonary Infections

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