Canard-type solutions in epidemiological models

DOI10.3934/proc.2015.0085zbMath1379.34042OpenAlexW2329209144MaRDI QIDQ260717

Eddy Kimba Phongi, Jacek Banasiak

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0085

zbMATH Keywords

population dynamicsTikhonov theoremage structureCanard solutionsmultiple time scalessingularly perturbed dynamical systemsSIS systemstability switch

Mathematics Subject Classification ID

Epidemiology (92D30) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)

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Canard solutions in equations with backward bifurcations of the quasi-steady state manifold ⋮ Delayed stability switches in singularly perturbed predator-prey models

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