Cozzo Emanuele, Baños Raquel A, Meloni Sandro, Moreno Yamir
Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50009, Spain and Department of Theoretical Physics, University of Zaragoza, Zaragoza 50009, Spain.
Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50009, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):050801. doi: 10.1103/PhysRevE.88.050801. Epub 2013 Nov 6.
We develop a theoretical framework for the study of epidemiclike social contagion in large scale social systems. We consider the most general setting in which different communication platforms or categories form multiplex networks. Specifically, we propose a contact-based information spreading model, and show that the critical point of the multiplex system associated with the active phase is determined by the layer whose contact probability matrix has the largest eigenvalue. The framework is applied to a number of different situations, including a real multiplex system. Finally, we also show that when the system through which information is disseminating is inherently multiplex, working with the graph that results from the aggregation of the different layers is inaccurate.
我们为研究大规模社会系统中类似流行病的社会传播现象建立了一个理论框架。我们考虑了最一般的情形,即不同的通信平台或类别构成多重网络。具体而言,我们提出了一种基于接触的信息传播模型,并表明与活跃阶段相关的多重系统的临界点由其接触概率矩阵具有最大特征值的层决定。该框架被应用于许多不同的情况,包括一个实际的多重系统。最后,我们还表明,当信息传播所通过的系统本质上是多重的时候,处理由不同层聚合而成的图是不准确的。