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

Ashton, Stephen, Scalas, Enrico, Georgiou, Nicos and Kiss, István Zoltán (2018) The mathematics of human contact: developing a model for social interaction in school children. Acta Physica Polonica A, 133 (6). pp. 1421-1432. ISSN 0587-4246

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Abstract

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

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Probability and Statistics Research Group
Subjects: H Social Sciences > HM Sociology > HM0711 Groups and organisations > HM0716 Social groups. Group dynamics
H Social Sciences > HM Sociology > HM0711 Groups and organisations > HM0716 Social groups. Group dynamics > HM0741 Social networks
Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics
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Depositing User: Enrico Scalas
Date Deposited: 16 May 2018 11:07
Last Modified: 02 Jul 2019 13:04
URI: http://sro.sussex.ac.uk/id/eprint/75862

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