title: Five challenges for spatial epidemic models.
abstract: Infectious disease incidence data are increasingly available at the level of the individual and include high-resolution spatial components. Therefore, we are now better able to challenge models that explicitly represent space. Here, we consider five topics within spatial disease dynamics: the construction of network models; characterising threshold behaviour; modelling long-distance interactions; the appropriate scale for interventions; and the representation of population heterogeneity.
authors.affiliation: MRC Centre for Outbreak Analysis and Modelling, Department of Infectious Disease Epidemiology, School of Public Health, Imperial College London, London, UK. Electronic address: s.riley@imperial.ac.uk.
authors.forename: Steven
authors.initials: S
authors.lastname: Riley
authors.affiliation: Centre for the Mathematical Modelling of Infectious Diseases, London School of Hygiene and Tropical Medicine, London WC1E 7HT, UK.
authors.forename: Ken
authors.initials: K
authors.lastname: Eames
authors.affiliation: Department of Statistical Science, University College London, London, UK.
authors.forename: Valerie
authors.initials: V
authors.lastname: Isham
authors.affiliation: Department of Actuarial Mathematics and Statistics, Heriot-Watt University, Edinburgh EH14 4AS, Scotland, UK.
authors.forename: Denis
authors.initials: D
authors.lastname: Mollison
authors.affiliation: Department of Mathematics, Stockholm University, Stockholm 106 91, Sweden.
authors.forename: Pieter
authors.initials: P
authors.lastname: Trapman
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology / Q000635:transmission; D058872:Epidemics / Q000706:statistics & numerical data*; D006801:Humans; D015233:Models, Statistical; D011157:Population Dynamics; D062206:Spatial Analysis
keywords: Gravity model; Metapopulations; Networks; Percolation theory; Spatial models
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