A geometric analysis of the SIR, SIRS and SIRWS epidemiological models

DOI10.1016/j.nonrwa.2020.103220zbMath1469.34065arXiv2002.00354OpenAlexW3091474659MaRDI QIDQ2215507

Andrea Pugliese, Mattia Sensi, Hildeberto Jardón-Kojakhmetov, Christian Kuehn

Publication date: 13 December 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00354

zbMATH Keywords

numerical continuationbifurcation analysisepidemic modelentry-exit functionfast-slow systemnon-standard form

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15)

Related Items (17)

DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH PERIODIC INFECTION RATE ON A SCALE-FREE NETWORK ⋮ Toward a Quantitative Reduction of the SIR Epidemiological Model ⋮ Discrete epidemic models with two time scales ⋮ A general view on double limits in differential equations ⋮ A geometric analysis of the impact of large but finite switching rates on vaccination evolutionary games ⋮ Post-pandemic modeling of COVID-19: waning immunity determines recurrence frequency ⋮ Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal ⋮ Reduction of discrete‐time infectious disease models ⋮ A singularly perturbed vector‐bias malaria model incorporating bed net control ⋮ Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate ⋮ A geometric analysis of the SIRS epidemiological model on a homogeneous network ⋮ Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change ⋮ Simplicial SIRS epidemic models with nonlinear incidence rates ⋮ Stochastic epidemic model on a simplicial complex ⋮ Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems ⋮ Dynamics of an SIRS model with age structure and two delays ⋮ Dynamics of an SIRWS model with waning of immunity and varying immune boosting period

Uses Software

• MATCONT

Cites Work

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