A note on the Markovian SIR epidemic on a random graph with given degrees

DOI10.1007/s10959-024-01320-wzbMATH Open1540.9221MaRDI QIDQ6556235

M. J. Luczak

Publication date: 17 June 2024

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

configuration modelrandom graph with given degree sequenceSIR epidemic process

Mathematics Subject Classification ID

Epidemiology (92D30) Random graphs (graph-theoretic aspects) (05C80) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

• Approximating the epidemic curve
• Large graph limit for an SIR process in random network with heterogeneous connectivity
• Near-critical SIR epidemic on a random graph with given degrees
• A note on a paper by Erik Volz: SIR dynamics in random networks
• SIR dynamics in random networks with heterogeneous connectivity
• Random graphs.
• The Probability That a Random Multigraph is Simple
• Law of large numbers for the SIR epidemic on a random graph with given degrees

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