Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

DOI10.1007/s00285-015-0902-3zbMath1333.05276arXiv1410.4953OpenAlexW1915736492WikidataQ40847733 ScholiaQ40847733MaRDI QIDQ264077

Peter L. Simon, András Szabó-Solticzky, Istvan Z. Kiss, Luc Berthouze

Publication date: 5 April 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4953

zbMATH Keywords

oscillationdynamic networkpairwise modelSIS epidemic

Mathematics Subject Classification ID

Epidemiology (92D30) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Bifurcation theory for ordinary differential equations (34C23) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Cites Work

• Unnamed Item
• Outbreak analysis of an SIS epidemic model with rewiring
• Exact epidemic models on graphs using graph-automorphism driven lumping
• Moment-closure approximations for discrete adaptive networks
• Modeling complex systems with adaptive networks
• Detailed study of bifurcations in an epidemic model on a dynamic network
• Modelling approaches for simple dynamic networks and applications to disease transmission models