Epidemic spreading in community networksZonghua Liu1, 2 and Bambi Hu2, 3
1 Department of Physics, East China Normal University - Shanghai 200062, PRC
2 Department of Physics, Center for Nonlinear Studies, and the Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Systems (Hong Kong Branch) Hong Kong Baptist University, Hong Kong, PRC
3 Department of Physics, University of Houston - Houston, TX 77204-5005, USA
received 4 November 2004; accepted in final form 5 August 2005
published online 7 September 2005
Social networks have the structure of communities. To understand how the community structure affects epidemic spreading, we present a simplified model of community network, and investigate the epidemic propagation in this model. We find that, compared to the random network, the community network has a broader degree distribution, a smaller threshold of epidemic outbreak, and more prevalence to keep the outbreak endemic. The formulae of epidemic threshold are given and confirmed by numerical simulations.
89.75.Hc - Networks and genealogical trees.
87.23.Ge - Dynamics of social systems.
© EDP Sciences 2005