Epidemic spreading behavior in local-world evolving networks

Chengyi Xia1,2, Zhongxin Liu1, Zengqiang Chen1, Shiwen Sun2, Zhuzhi Yuan1
1Department of Automation, Nankai University, Tianjin 300071, China
2School of Computer Science and Technology, Tianjin University of Technology, Tianjin 300191, China

Tài liệu tham khảo

Albert, 2002, Statistical mechanics of complex networks, Rev Mod Phys, 74, 47, 10.1103/RevModPhys.74.47 Newman, 2003, The structure and function of complex networks, SIAM Rev, 45, 167, 10.1137/S003614450342480 Boccaletti, 2006, Complex networks: structure and dynamics, Phys Rep, 424, 175, 10.1016/j.physrep.2005.10.009 Xiang, 2006, Review of modeling, analysis and control on complex networks, Prog Nat Sci, 16, 1543 Fang, 2007, Theoretical research progress in complexity of complex dynamical networks, Prog Nat Sci, 17, 761, 10.1080/10002007088537471 Watts, 1998, Collective dynamics of small world networks, Nature, 393, 440, 10.1038/30918 Barabási, 1999, Emergence of scaling in random networks, Science, 286, 509, 10.1126/science.286.5439.509 Li, 2003, A local-world evolving network model, Physica A, 323, 274, 10.1016/S0378-4371(03)00604-6 Ma, 2004 Lloyd, 2001, How viruses spread among computers and people, Science, 292, 1316, 10.1126/science.1061076 Zhou, 2006, Epidemic dynamics on complex networks, Prog Nat Sci, 16, 452, 10.1080/10020070612330019 Pastor-Satorras, 2001, Epidemic spreading in scale-free networks, Phys Rev Lett, 86, 3200, 10.1103/PhysRevLett.86.3200 Boguná, 2003, Absence of epidemic threshold in scale-free networks with degree correlations, Phys Rev Lett, 90, 028701, 10.1103/PhysRevLett.90.028701 Moreno, 2002, Epidemic outbreaks in complex heterogeneous networks, Eur Phys J B, 26, 521, 10.1140/epjb/e20020122 Barthelemy, 2004, Velocity and hierarchical spread of epidemic outbreaks in scale-free networks, Phys Rev Lett, 92, 178701, 10.1103/PhysRevLett.92.178701 Xia, 2007, Dynamic spreading behavior of homogeneous and heterogeneous networks, Prog Nat Sci, 17, 358, 10.1080/10020070612331343270 Sun, 2007, Error and attack tolerance of evolving networks with local preferential attachment, Physica A, 373, 851, 10.1016/j.physa.2006.05.049 Sun, 2007, Relations between structural properties and synchronizability on local world dynamical networks, Prog Nat Sci, 17, 956, 10.1080/10002007088537497 Erdös, 1959, On random graphs, Publ Math, 6, 290