Epidemic spreading on weighted complex networks

被引:69
作者
Sun, Ye [1 ,2 ]
Liu, Chuang [1 ,2 ]
Zhang, Chu-Xu [1 ,2 ]
Zhang, Zi-Ke [1 ,2 ]
机构
[1] Hangzhou Normal Univ, Inst Informat Econ, Hangzhou 311121, Zhejiang, Peoples R China
[2] Hangzhou Normal Univ, Alibaba Res Ctr Complex Sci, Hangzhou 311121, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Complex networks; Epidemic spreading; Multi-relation; Weighted network; SMALL-WORLD NETWORKS; INTERDEPENDENT NETWORKS; SOCIAL NETWORKS; DYNAMICS; DISEASE; ORGANIZATION; VIRUSES; MODEL;
D O I
10.1016/j.physleta.2014.01.004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Nowadays, the emergence of online services provides various multi-relation information to support the comprehensive understanding of the epidemic spreading process. In this Letter, we consider the edge weights to represent such multi-role relations. In addition, we perform detailed analysis of two representative metrics, outbreak threshold and epidemic prevalence, on SIS and SIR models. Both theoretical and simulation results find good agreements with each other. Furthermore, experiments show that, on fully mixed networks, the weight distribution on edges would not affect the epidemic results once the average weight of whole network is fixed. This work may shed some light on the in-depth understanding of epidemic spreading on multi-relation and weighted networks. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:635 / 640
页数:6
相关论文
共 39 条
[1]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[2]   Velocity and hierarchical spread of epidemic outbreaks in scale-free networks -: art. no. 178701 [J].
Barthélemy, M ;
Barrat, A ;
Pastor-Satorras, R ;
Vespignani, A .
PHYSICAL REVIEW LETTERS, 2004, 92 (17) :178701-1
[3]   Link operations for slowing the spread of disease in complex networks [J].
Bishop, A. N. ;
Shames, I. .
EPL, 2011, 95 (01)
[4]   Multiplexity-facilitated cascades in networks [J].
Brummitt, Charles D. ;
Lee, Kyu-Min ;
Goh, K. -I. .
PHYSICAL REVIEW E, 2012, 85 (04)
[5]   Catastrophic cascade of failures in interdependent networks [J].
Buldyrev, Sergey V. ;
Parshani, Roni ;
Paul, Gerald ;
Stanley, H. Eugene ;
Havlin, Shlomo .
NATURE, 2010, 464 (7291) :1025-1028
[6]   Competing activation mechanisms in epidemics on networks [J].
Castellano, Claudio ;
Pastor-Satorras, Romualdo .
SCIENTIFIC REPORTS, 2012, 2
[7]   Thresholds for Epidemic Spreading in Networks [J].
Castellano, Claudio ;
Pastor-Satorras, Romualdo .
PHYSICAL REVIEW LETTERS, 2010, 105 (21)
[8]   Statistical physics of social dynamics [J].
Castellano, Claudio ;
Fortunato, Santo ;
Loreto, Vittorio .
REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :591-646
[9]   Discrete-time Markov chain approach to contact-based disease spreading in complex networks [J].
Gomez, S. ;
Arenas, A. ;
Borge-Holthoefer, J. ;
Meloni, S. ;
Moreno, Y. .
EPL, 2010, 89 (03)
[10]   Nonperturbative heterogeneous mean-field approach to epidemic spreading in complex networks [J].
Gomez, Sergio ;
Gomez-Gardenes, Jesus ;
Moreno, Yamir ;
Arenas, Alex .
PHYSICAL REVIEW E, 2011, 84 (03)