Bayesian Analysis

Using Individual-Level Models for Infectious Disease Spread to Model Spatio-Temporal Combustion Dynamics

Irene Vrbik, Rob Deardon, Zeny Feng, Abbie Gardner, and John Braun

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Abstract

Individual-level models (ILMs), as defined by Deardon et al. (2010), are a class of models originally designed to model the spread of infectious disease. However, they can also be considered as a tool for modelling the spatio-temporal dynamics of fire. We consider the much simplified problem of modelling the combustion dynamics on a piece of wax paper under relatively controlled conditions. The models are fitted in a Bayesian framework using Markov chain Monte Carlo (MCMC) methods. The focus here is on choosing a model that best fits the combustion pattern.

Article information

Source
Bayesian Anal. Volume 7, Number 3 (2012), 615-638.

Dates
First available in Project Euclid: 28 August 2012

Permanent link to this document
http://projecteuclid.org/euclid.ba/1346158778

Digital Object Identifier
doi:10.1214/12-BA721

Mathematical Reviews number (MathSciNet)
MR2981630

Citation

Vrbik, Irene; Deardon, Rob; Feng, Zeny; Gardner, Abbie; Braun, John. Using Individual-Level Models for Infectious Disease Spread to Model Spatio-Temporal Combustion Dynamics. Bayesian Analysis 7 (2012), no. 3, 615--638. doi:10.1214/12-BA721. http://projecteuclid.org/euclid.ba/1346158778.


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