Relaxation oscillation and canard explosion for a SIRS model with nonlinear incidence rate

DOI10.1007/s12346-022-00663-1zbMath1505.34076OpenAlexW4297217410MaRDI QIDQ2080210

Li Shimin, Wang Xiaoling

Publication date: 7 October 2022

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

Full work available at URL: https://doi.org/10.1007/s12346-022-00663-1

zbMATH Keywords

Hopf bifurcationrelaxation oscillationcanard explosiongeometry singular perturbation theory

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

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