An epidemic spreading model based on community structure in dual social networks
Paper Details
An epidemic spreading model based on community structure in dual social networks
Abstract
The spread of disease through a physical contact network and the diffusion of information awareness about the disease on a communication network are two intimately related dynamical processes. To catch the influence of community structure on the epidemic spreading, we propose an epidemic spreading model based on the network community structure in dual networks. The model used the dual network to describe the interplay between the two types of spreading dynamics, each occurring on its own layer. As for the diffusion of awareness, we study the impact of the community structure on the changes of awareness diffusion process which will alter the epidemic threshold and the final infected size. Through Markov chain approach and numerical computation, we derive the epidemic threshold of the model. Theoretical analysis shows that the existence of the community structure in the consciousness layer network increases the awareness probability in the network, and then increases the epidemic threshold. Simulation results indicate that the epidemic threshold of the dual network propagation model based on community structure is higher, and the infected size is lower than that without community structure when the system is in balance.
Barabasi AL, Albert R. 1999. Emergence of scaling in random networks. Science 509-512.
Cluster A, Newman MEJ. 2005. Finding community structure in very large networks. Physical Review E 1340-1351.
Granell C, Gomez S, Arenas A. 2013. Dynamical interplay between awareness and epidemic spreading in multiplex network. Physical Review Letters 1-7.
Granell C, Gomez S, Arenas A. 2014. Competing spreading processes on multiplex networks: Awareness and epidemics. Physical Review E Statistical Nonlinear & Soft Matter Physics 1-7.
Guo QT, Jiang X, Lei YJ. 2015. Two-stage effects of awareness cascade on epidemic spreading in multiplex network. Physical Review E Statistical Nonlinear & Soft Matter Physic 1-11.
Guo QT, Jiang X, Lei YJ. 2016. Epidemic spreading with activity-driven awareness diffusion on multiplex network. Chaos: An Interdisciplinary Journal of Nonlinear Science 1-10.
Kashisaz H, Darooneh AH. 2016. The influence of society mesoscopic structure on the rate of epidemic spreading. Chaos: An Interdisciplinary Journal of Nonlinear Science 3200-3203.
Newman MEJ. 2012. Communities, modules and large-scale structure in networks. Nature Physics 25-31.
Peng XL, Michael S, Xu XJ. 2013. Temporal prediction of epidemic patterns in community networks. New Journal of Physics 1367-2630.
Shang JX, Liu LC, Lin X. 2015. Epidemic spreading on complex networks with overlapping and non-overlapping community structure. Physical A: Statistical Mechanics & Its Application 171-182.
Stegehuis C, Remco van DH, Johan SH. 2016. Epidemic spreading on complex networks with community structure. Scientific Reports 2829-2838.
Wang W, Tang M, Yang H. 2014. Asymmetrically interacting spreading dynamics on complex layered networks. Scientific Reports 1-13.
Zhang Changlun, NingNan, Jin Zhanyong, Zhang Jian (2017), An epidemic spreading model based on community structure in dual social networks; IJMM, V5, N3, March, P1-10
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