Variability of Contact Process in Complex Networks

Abstract

We study numerically how the structures of distinct networks influence the epidemic dynamics in contact process. We first find that the variability difference between homogeneous and heterogeneous networks is very narrow, although the heterogeneous structures can induce the lighter prevalence. Contrary to non-community networks, strong community structures can cause the secondary outbreak of prevalence and two peaks of variability appeared. Especially in the local community, the extraordinarily large variability in early stage of the outbreak makes the prediction of epidemic spreading hard. Importantly, the bridgeness plays a significant role in the predictability, meaning the further distance of the initial seed to the bridgeness, the less accurate the predictability is. Also, we investigate the effect of different disease reaction mechanisms on variability, and find that the different reaction mechanisms will result in the distinct variabilities at the end of epidemic spreading.

6 pages, 4 figures

References in corpus (30)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• Finding and evaluating community structure in networks
• Epidemic spreading in scale-free networks
• Assortative mixing in networks
• Mixing patterns in networks
• Resilience of the Internet to random breakdowns
• Structure and tie strengths in mobile communication networks
• Epidemic dynamics and endemic states in complex networks
• Why social networks are different from other types of networks
• Prediction and predictability of global epidemics: the role of the airline transportation network
• Epidemic spreading in correlated complex networks
• Absence of epidemic threshold in scale-free networks with connectivity correlations
• Epidemic threshold in structured scale-free networks
• Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity
• Epidemic spreading on heterogeneous networks with identical infectivity
• Griffiths phases on complex networks
• Non mean-field behavior of the contact process on scale-free networks
• Finite-size scaling in complex networks
• Global disease spread: statistics and estimation of arrival times
• Collective synchronization induced by epidemic dynamics on complex networks with communities
• Extreme events on complex networks
• Bridgeness: A Local Index on Edge Significance in Maintaining Global Connectivity
• Epidemic variability in complex networks
• Condensation in a zero range process on weighted scale-free networks
• Arrival Time Statistics in Global Disease Spread
• Critical behavior of the Ising model in annealed scale-free networks
• Critical behavior of the contact process in annealed scale-free networks
• Reply to the Comment on the paper "Non-mean-field behavior of the contact process on scale-free networks"
• Comment on "Non-Mean-Field Behavior of the Contact Process on Scale-Free Networks"

Cited by in corpus (5)

• Identifying effective multiple spreaders by coloring complex networks
• Bridges in Complex Networks
• Efficient allocation of heterogeneous response times in information spreading process
• Epidemic Variability in Hierarchical Geographical Networks with Human Activity Patterns
• Identifying Influential Spreaders of Epidemics on Community Networks