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Published on: May 23, 2020
Collective synchronization induced by epidemic dynamics on complex networks with communities
Gang Yan1, Zhong-Qian Fu, Jie Ren
1Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China.
Summary
Community structure strength in scale-free networks influences synchronization. A phase transition from global synchronization to desynchronization occurs around Q=0.835, impacting local synchronizability.
Area of Science:
- Network Science
- Complex Systems
- Epidemiology
Background:
- Real-world networks exhibit ubiquitous community structure.
- Understanding community strength's impact on network dynamics is crucial.
Purpose of the Study:
- Propose a growth model for scale-free networks with tunable community strength (Q).
- Investigate the influence of community strength on collective synchronization during a Susceptible-Infected-Recovery-Susceptible (SIRS) process.
- Analyze the impact of mean degree (
) on synchronization.
Main Methods:
- Developed a scale-free network growth model with adjustable community strength.
- Employed an order parameter to study global and local synchronizability.
- Utilized finite-size scaling analysis for numerical investigation.
Main Results:
- Identified a phase transition at Q ≈ 0.835, marking a shift from global synchronization to desynchronization.
- Observed weakened local synchronization for intermediate to large community strength (Q).
- Examined the effect of mean degree (
) on synchronization patterns.
Conclusions:
- Community structure significantly modulates synchronization in scale-free networks.
- The critical community strength (Qc) determines the transition between synchronized and desynchronized states.
- Network topology, specifically community strength and mean degree, plays a vital role in epidemic dynamics.
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