Heterogeneous population dynamics and scaling laws near epidemic outbreaks

DOI10.3934/mbe.2016032zbMath1358.34059arXiv1411.7323OpenAlexW3106498082WikidataQ40489010 ScholiaQ40489010MaRDI QIDQ327588

Christian Kuehn, Andreas Widder

Publication date: 19 October 2016

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7323

zbMATH Keywords

heterogeneitytranscritical bifurcationbasic reproductive numbercritical transitionstochastic perturbation\(SIS\) modeltipping point

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items

Epidemics on networks with heterogeneous population and stochastic infection rates, Balancing quarantine and self-distancing measures in adaptive epidemic networks, A stochastic differential equation SIS model on network under Markovian switching, A geometric analysis of the SIR, SIRS and SIRWS epidemiological models, On the existence and uniqueness of an inverse problem in epidemiology

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