Collective synchronization induced by epidemic dynamics on complex networks with communities

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dc.creatorYan, Gang
dc.creatorFu, Zhong-Qian
dc.creatorRen, Jie
dc.creatorWang, Wen-Xu
dc.date2006-02-21
dc.date2007-01-22
dc.date.accessioned2026-07-07T07:43:07Z
dc.date.available2026-07-07T07:43:07Z
dc.descriptionMuch 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.
dc.description5 pages, 4 figures. to appeared in Phys. Rev. E 75 (2007)
dc.identifierhttps://arxiv.org/abs/physics/0602137
dc.identifierhttp://arxiv.org/abs/physics/0602137
dc.identifierPhys. Rev. E 75. 016108 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.016108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122698
dc.subjectData Analysis, Statistics and Probability
dc.subjectPhysics and Society
dc.titleCollective synchronization induced by epidemic dynamics on complex networks with communities
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