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arXiv 1501.04091physics.soc-phcs.SI
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政治革命在社交网络上传播的线性阈值模型

A Hierarchy of Linear Threshold Models for the Spread of Political Revolutions on Social Networks

John C. Lang, Hans De Sterck

摘要:

我们研究了一个线性阈值代理模型(ABM)的政治革命的传播社交网络使用经验网络数据。我们提出了新的技术,建立一个层次结构的简化常微分方程(ODE)为基础的模型,旨在捕捉ABM的基本特征,包括实际网络的影响,并提供洞察力的ABM的参数政权过渡。我们将ABM和模型的层次结构与我们先前提出的用于政治革命传播的人口水平分区ODE模型联系起来[1],该模型在数学上与所提出的ABM一致,并提供了一种分析ABM全局行为的方法。与线性阈值ABM的一致性也为[1]的房室模型提供了进一步的后验证明。从流行病学模型的扩展概念,我们定义了一个基本的再生数$R_0$的线性阈值ABM和应用它来预测ABM行为的经验网络。在小规模的数值测试中,我们实验性地研究了在线性阈值ABM模型下,当应用于一些经验性的在线和离线社交网络时,传播行为的差异,寻找定量证据表明,政治革命可能是由现代在线社交网络的社交媒体促进的。

英文摘要:

We study a linear threshold agent-based model (ABM) for the spread of political revolutions on social networks using empirical network data. We propose new techniques for building a hierarchy of simplified ordinary differential equation (ODE) based models that aim to capture essential features of the ABM, including effects of the actual networks, and give insight in the parameter regime transitions of the ABM. We relate the ABM and the hierarchy of models to a population-level compartmental ODE model that we proposed previously for the spread of political revolutions [1], which is shown to be mathematically consistent with the proposed ABM and provides a way to analyze the global behaviour of the ABM. This consistency with the linear threshold ABM also provides further justification a posteriori for the compartmental model of [1]. Extending concepts from epidemiological modelling, we define a basic reproduction number $R_0$ for the linear threshold ABM and apply it to predict ABM behaviour on empirical networks. In small-scale numerical tests we investigate experimentally the differences in spreading behaviour that occur under the linear threshold ABM model when applied to some empirical online and offline social networks, searching for quantitative evidence that political revolutions may be facilitated by the modern online social networks of social media.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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