具有社区的复杂网络中传染病动力学诱导的集体同步
Collective synchronization induced by epidemic dynamics on complex networks with communities
摘要：
最近的大量经验证据表明，\textit{community structure}在现实世界的网络中是普遍存在的。在这封信中，我们提出了一个增长模型，以创建无标度网络的可调强度（注：$Q$）的社区结构和调查的影响社区强度对集体同步引起的SIRS流行病学过程。利用序参量研究了系统的全局和局部同步性，并给出了相应的有限尺寸标度分析。数值结果表明，在$Q_c\simeq0.835$处发生了从全局同步到去同步的相变，在中等大的$Q$范围内，局部同步被削弱.此外，我们还研究了无标度网络中平均度$<k>$对同步的影响。
英文摘要：
Much recent empirical evidence shows that \textit{community structure} is ubiquitous in the real-world networks. In this Letter, we propose a growth model to create scale-free networks with the tunable strength (noted by $Q$) of community structure and investigate the influence of community strength upon the collective synchronization induced by SIRS epidemiological process. Global and local synchronizability of the system is studied by means of an order parameter and the relevant finite-size scaling analysis is provided. The numerical results show that, a phase transition occurs at $Q_c\simeq0.835$ from global synchronization to desynchronization and the local synchronization is weakened in a range of intermediately large $Q$. Moreover, we study the impact of mean degree $<k>$ upon synchronization on scale-free networks.
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