Collective synchronization induced by epidemic dynamics on complex networks with communities

Abstract

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 $Q_c\simeq 0.835$ 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.

5 pages, 4 figures. to appeared in Phys. Rev. E 75 (2007)

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Cited by in corpus (16)

• Epidemic processes in complex networks
• Epidemic spreading on complex networks with community structures
• Synchronization on community networks
• An efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks
• Immunization of traffic-driven epidemic spreading
• Epidemic spreading driven by biased random walks
• Stochastic effects in a seasonally forced epidemic model
• Hierarchical organization of brain functional network during visual task
• Finding Community Structure Based on Subgraph Similarity
• Variability of Contact Process in Complex Networks
• Community structure revealed by phase locking
• Dynamic Quantum Tunneling in Mesoscopic Driven Duffing Oscillators
• Traffic-driven epidemic spreading on scale-free networks with tunable degree distribution
• Feedback pinning control of collective behaviors aroused by epidemic spread on complex networks
• Strong coupling yields abrupt synchronization transitions in coupled oscillators
• Immunization for complex network based on the effective degree of vertex