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The mathematics of human contact: developing a model for social interaction in school children

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posted on 2023-06-09, 13:18 authored by Stephen Ashton, Enrico Scalas, Nicos GeorgiouNicos Georgiou, Istvan Kiss
In 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 A

ISSN

0587-4246

Publisher

Polish Academy of Sciences Warsaw

Issue

6

Volume

133

Page range

1421-1432

Event name

13th Econophysics Colloquium (EC) and 9th Symposium of Physics in Economy and Social Sciences

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-05-16

First Open Access (FOA) Date

2018-08-28

First Compliant Deposit (FCD) Date

2018-05-14

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