Relaxation oscillations in an SIS epidemic model with a nonsmooth incidence

DOI10.1142/S0218127423501882zbMATH Open1546.92164MaRDI QIDQ6539026

Ying-ying Zhang, Ruijuan Niu

Publication date: 14 May 2024

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

zbMATH Keywords

SIS modelentry-exit functionrelaxation oscillationsingular perturbation theorynonsmooth incidence

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Title not available (Why is that?)
• Canard trajectories in 3D piecewise linear systems
• Canard phenomenon for an SIS epidemic model with nonlinear incidence
• Canard cycles for predator-prey systems with Holling types of functional response
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Asymptotic methods for relaxation oscillations and applications
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• A simple SIS epidemic model with a backward bifurcation
• Canard phenomenon in a slow-fast modified Leslie-Gower model
• Relaxation oscillations in a slow-fast modified Leslie-Gower model
• Relaxation oscillations of a slow-fast predator-prey model with a piecewise smooth functional response
• Relaxation oscillations for Leslie-type predator-prey model with Holling type I response functional function
• The entry-exit theorem and relaxation oscillations in slow-fast planar systems
• Uniqueness of limit cycles for sewing planar piecewise linear systems
• Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions
• Turning points and relaxation oscillation cycles in simple epidemic models
• Number and Stability of Relaxation Oscillations for Predator-Prey Systems with Small Death Rates
• Canard Phenomenon in an SIRS Epidemic Model with Nonlinear Incidence Rate
• The entry-exit function and geometric singular perturbation theory

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