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Multiple routes transmitted epidemics on multiplex networks
Authors:Dawei Zhao  Lixiang Li  Haipeng Peng  Qun Luo  Yixian Yang
Affiliation:1. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, P.O. Box 145, Beijing 100876, China;2. National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing 100876, China;3. Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China
Abstract:This letter investigates the multiple routes transmitted epidemic process on multiplex networks. We propose detailed theoretical analysis that allows us to accurately calculate the epidemic threshold and outbreak size. It is found that the epidemic can spread across the multiplex network even if all the network layers are well below their respective epidemic thresholds. Strong positive degree–degree correlation of nodes in multiplex network could lead to a much lower epidemic threshold and a relatively smaller outbreak size. However, the average similarity of neighbors from different layers of nodes has no obvious effect on the epidemic threshold and outbreak size.
Keywords:Multiple transmission routes   Multiplex network   Epidemic threshold   Outbreak size   Percolation theory
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