The Mathematics of Human Contact: Developing a Model for Social Interaction in School Children
The Mathematics of Human Contact: Developing a Model for Social Interaction in School Children
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DOI：
10.12693/aphyspola.133.1421
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发表时间：
2018-02
影响因子：
0.7
通讯作者：
S. Ashton;E. Scalas;N. Georgiou;I. Kiss
中科院分区：
文献类型：
--
作者：
S. Ashton;E. Scalas;N. Georgiou;I. Kiss
在本文中，我们提供了一个高分辨率的接触模式数据的统计分析，在小学和中学的SocioPatterns合作收集。学生被图形化地表示为时间演化网络中的节点，其中链接表示学生之间的接近或交互。本文主要关注链路和节点级别的统计数据，例如链路的开启和关闭持续时间以及节点和链路的活动潜力。参数模型拟合的开和关的持续时间的链接，事件间的时间和节点的活动潜力，并在此基础上，我们提出了一些理论模型，能够重现不同程度的准确性内收集的数据。通过这样做，我们的目标是确定所需的最小网络级属性，以密切匹配现实世界的数据，目的是在未来的工作中将这种接触模式模型与流行病模型相结合。
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.