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Correlated bursts in temporal networks slow down spreading.
Takayuki Hiraoka1, Hang-Hyun Jo2,3,4
1Asia Pacific Center for Theoretical Physics, Pohang, 37673, Republic of Korea.
Scientific Reports
|October 19, 2018
Summary
Correlated bursts in temporal networks slow down disease spreading. This study shows positive interevent time correlations reduce spread, explained by shortest transmission times.
Area of Science:
- Complex Systems
- Network Science
- Epidemiology
Background:
- Spreading dynamics in temporal networks exhibit non-Poissonian bursty interactions.
- Inhomogeneous interevent times (IETs) effects are studied, but IET correlations remain underexplored.
Purpose of the Study:
- Investigate the impact of correlated interevent times on spreading dynamics.
- Analyze susceptible-infected (SI) dynamics under correlated bursty interactions.
Main Methods:
- Studied two-step deterministic and probabilistic SI dynamics.
- Modeled interaction patterns using inhomogeneous and correlated IETs (correlated bursts).
- Analyzed transmission time statistics and simulated spreading on Bethe lattices and random graphs.
Main Results:
- Positive correlation between interevent times was found to slow down spreading dynamics.
- Numerical results were successfully explained by the shortest transmission time from infected to susceptible nodes.
Conclusions:
- Correlated bursts in temporal networks significantly alter spreading behavior.
- Shortest transmission time is a key factor in understanding spread reduction due to IET correlations.
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