Canard Phenomenon in an SIRS Epidemic Model with Nonlinear Incidence Rate

DOI10.1142/S021812742050073XzbMath1447.34055OpenAlexW3022526271MaRDI QIDQ5114584

Yicang Zhou, Biao Tang, Yingying Zhang

Publication date: 24 June 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812742050073x

zbMATH Keywords

bifurcationsSIRS modelcanard cyclenonlinear incidence rateslow-fast analysis

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) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

Related Items (6)

Canard Cycles and Relaxation Oscillations in a Singularly Perturbed Leslie–Gower Predator–Prey Model with Allee Effect ⋮ Relaxation oscillations in a slow-fast predator-prey model with weak Allee effect and Holling-IV functional response ⋮ Disease dynamics and optimal control strategies of a two serotypes dengue model with co-infection ⋮ Relaxation oscillation and canard explosion for a SIRS model with nonlinear incidence rate ⋮ Canards and homoclinic orbits in a slow-fast modified May-Holling-Tanner predator-prey model with weak multiple allee effect ⋮ Controlling Infectious Diseases: The Decisive Phase Effect on a Seasonal Vaccination Strategy

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