How clustering affects epidemics in complex networks

Epidemic spreading is closely related with topology of complex networks. Besides heterogeneity in the number of contacts, the clustering of contacts can also have far-reaching epidemiological consequences. Here we investigate the effects of clustering coefficient on epidemic dynamics in complex networks. Results show that the effects of clustering on epidemics differ in different networks. In homogeneous networks, the clustering can inhibit the epidemics when the infection scale is small. However, the inhibition effect will be reduced as the infection goes on. While in heterogeneous networks, there is no inhibition effect during all the process of the infection, which is also confirmed in real networks.

[1]  Darren M Green,et al.  Comment on "properties of highly clustered networks". , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Frank Ball,et al.  A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon , 2012, Journal of mathematical biology.

[3]  Ming Tang,et al.  Message spreading in networks with stickiness and persistence: Large clustering does not always facilitate large-scale diffusion , 2014, Scientific Reports.

[4]  Andreas N. Lagerås,et al.  Epidemics on Random Graphs with Tunable Clustering , 2007, Journal of Applied Probability.

[5]  K. Eames,et al.  Modelling disease spread through random and regular contacts in clustered populations. , 2008, Theoretical population biology.

[6]  M. Newman Properties of highly clustered networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[8]  Emilie Coupechoux,et al.  How Clustering Affects Epidemics in Random Networks , 2012, Advances in Applied Probability.

[9]  Andrea Montanari,et al.  The spread of innovations in social networks , 2010, Proceedings of the National Academy of Sciences.

[10]  Alessandro Vespignani,et al.  Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[11]  M. Newman,et al.  Finding community structure in networks using the eigenvectors of matrices. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Kazuyuki Aihara,et al.  Impacts of clustering on interacting epidemics. , 2012, Journal of theoretical biology.

[13]  Alessandro Vespignani,et al.  Epidemic dynamics in finite size scale-free networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[15]  Albert-László Barabási,et al.  Understanding the Spreading Patterns of Mobile Phone Viruses , 2009, Science.

[16]  Joel C. Miller,et al.  Supplementary Text S1 , 2014 .

[17]  Víctor M Eguíluz,et al.  Epidemic threshold in structured scale-free networks. , 2002, Physical review letters.

[18]  Sergey Melnik,et al.  How clustering affects the bond percolation threshold in complex networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  M. Keeling The implications of network structure for epidemic dynamics. , 2005, Theoretical population biology.

[20]  M E J Newman,et al.  Random graphs with clustering. , 2009, Physical review letters.

[21]  M. Newman,et al.  Network theory and SARS: predicting outbreak diversity , 2004, Journal of Theoretical Biology.

[22]  Duanbing Chen,et al.  The small world yields the most effective information spreading , 2011, ArXiv.

[23]  R. Pastor-Satorras,et al.  Epidemic spreading in correlated complex networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Marián Boguñá,et al.  Clustering in complex networks. II. Percolation properties. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Beom Jun Kim,et al.  Growing scale-free networks with tunable clustering. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Zonghua Liu,et al.  How community structure influences epidemic spread in social networks , 2008 .

[27]  Zhongyuan Ruan,et al.  How the contagion at links influences epidemic spreading , 2013 .

[28]  Chai Molina,et al.  Modelling the spread of diseases in clustered networks. , 2012, Journal of theoretical biology.

[29]  Jennifer Badham,et al.  The impact of network clustering and assortativity on epidemic behaviour. , 2010, Theoretical population biology.

[30]  A Díaz-Guilera,et al.  Self-similar community structure in a network of human interactions. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  Vu Chi Cuong,et al.  Interventions for avian influenza A (H5N1) risk management in live bird market networks , 2013, Proceedings of the National Academy of Sciences.

[32]  Joel C. Miller,et al.  Percolation and epidemics in random clustered networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.