The great circle epidemic model.

DOI10.1016/S0304-4149(03)00074-7zbMath1075.60565MaRDI QIDQ2574596

Peter Neal, Frank G. Ball

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

weak convergencebranching processcentral limit theoremscouplingepidemic processsmall-world models

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (12)

Modelling low pathogenic avian influenza introduction into the commercial poultry industry ⋮ A household SIR epidemic model incorporating time of day effects ⋮ Multitype randomized Reed-Frost epidemics and epidemics upon random graphs ⋮ A branching process, its application in biology: influence of demographic parameters on the social structure in mammal groups ⋮ The SIS Great Circle Epidemic Model ⋮ A stochastic SIR network epidemic model with preventive dropping of edges ⋮ Network epidemic models with two levels of mixing ⋮ Coupling of Two SIR Epidemic Models with Variable Susceptibilities and Infectivities ⋮ An epidemic model with exposure-dependent severities ⋮ Threshold behaviour and final outcome of an epidemic on a random network with household structure ⋮ The basic reproduction number, \(R_0\), in structured populations ⋮ A general model for stochastic SIR epidemics with two levels of mixing

Cites Work

• Strong approximations for epidemic models
• Epidemics with two levels of mixing
• Central limit theorem for linear processes
• A general model for stochastic SIR epidemics with two levels of mixing
• Poisson approximations for epidemics with two levels of mixing.
• Poisson approximation for the final state of a generalized epidemic process
• Small worlds
• On the asymptotic distribution of the size of a stochastic epidemic
• Asymptotic final-size distribution for some chain-binomial processes
• Threshold limit theorems for some epidemic processes
• Strong invariance principles for mixing random fields
• On the convergence of supercritical general (C-M-J) branching processes
• Collective dynamics of ‘small-world’ networks
• Weak convergence of probability measures and random functions in the function space D[0,∞)
• A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The great circle epidemic model.