Coupling of Two SIR Epidemic Models with Variable Susceptibilities and Infectivities

DOI10.1239/jap/1175267162zbMath1130.92047OpenAlexW2042465388MaRDI QIDQ5443700

Peter Neal

Publication date: 22 February 2008

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

Full work available at URL: https://doi.org/10.1239/jap/1175267162

zbMATH Keywords

central limit theorem

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Applications of graph theory (05C90) Random graphs (graph-theoretic aspects) (05C80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

On the number of recovered individuals in the \(SIS\) and \(SIR\) stochastic epidemic models ⋮ Effective degree household network disease model ⋮ Bounding the Size and Probability of Epidemics on Networks ⋮ Effective degree network disease models ⋮ Network epidemic models with two levels of mixing ⋮ SIR dynamics in random networks with communities ⋮ An epidemic model with short-lived mixing groups

Cites Work

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• Generating simple random graphs with prescribed degree distribution
• Multitype randomized Reed-Frost epidemics and epidemics upon random graphs
• Limit theorems for a random graph epidemic model
• The effect of random vaccine response on the vaccination coverage required to prevent epidemics
• Epidemics with two levels of mixing
• Extreme value distributions for random coupon collector and birthday problems
• Branching approximation for the collective epidemic model
• The great circle epidemic model.
• Stochastic multi-type SIR epidemics among a population partitioned into households
• On the asymptotic distribution of the size of a stochastic epidemic
• Deterministic and stochastic epidemics with several kinds of susceptibles
• Asymptotic final-size distribution for some chain-binomial processes
• The final size and severity of a generalised stochastic multitype epidemic model
• SIR epidemics on a Bernoulli random graph
• The final outcome of an epidemic model with several different types of infective in a large population
• An epidemic model with exposure-dependent severities
• Nonstationarity and randomization in the Reed-Frost epidemic model

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