Multitype randomized Reed-Frost epidemics and epidemics upon random graphs

DOI10.1214/105051606000000123zbMath1107.92049arXivmath/0610180OpenAlexW1985913947MaRDI QIDQ862226

Peter Neal

Publication date: 5 February 2007

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610180

zbMATH Keywords

central limit theoremsbranching process approximationsrandom group allocationweak law of large numbers for final size distributions

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Signal detection and filtering (aspects of stochastic processes) (60G35)

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SIS epidemic propagation on hypergraphs ⋮ The SIS Great Circle Epidemic Model ⋮ Epidemics on Random Graphs with Tunable Clustering ⋮ A weighted configuration model and inhomogeneous epidemics ⋮ Epidemic growth rate and household reproduction number in communities of households, schools and workplaces ⋮ A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling ⋮ The relationship between real-time and discrete-generation models of epidemic spread ⋮ Network epidemic models with two levels of mixing ⋮ Coupling of Two SIR Epidemic Models with Variable Susceptibilities and Infectivities ⋮ Stochastic and deterministic analysis of SIS household epidemics

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