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The mathematics of human contact: developing a model for social interaction in school children
journal contribution
posted on 2023-06-09, 13:18 authored by Stephen Ashton, Enrico Scalas, Nicos GeorgiouNicos Georgiou, Istvan KissIn this paper, we provide a statistical analysis of high-resolution contact pattern data within primary and secondary schools as collected by the SocioPatterns collaboration. Students are graphically represented as nodes in a temporally evolving network, in which links represent proximity or interaction between students. This article focuses on link- and node-level statistics, such as the on- and off-durations of links as well as the activity potential of nodes and links. Parametric models are fitted to the on- and off-durations of links, inter-event times and node activity potentials and, based on these, we propose a number of theoretical models that are able to reproduce the collected data within varying levels of accuracy. By doing so, we aim to identify the minimal network-level properties that are needed to closely match the real-world data, with the aim of combining this contact pattern model with epidemic models in future work
History
Publication status
- Published
File Version
- Published version
Journal
Acta Physica Polonica AISSN
0587-4246Publisher
Polish Academy of Sciences WarsawExternal DOI
Issue
6Volume
133Page range
1421-1432Event name
13th Econophysics Colloquium (EC) and 9th Symposium of Physics in Economy and Social SciencesDepartment affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2018-05-16First Open Access (FOA) Date
2018-08-28First Compliant Deposit (FCD) Date
2018-05-14Usage metrics
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