Phase diagram of epidemic spreading - unimodal vs. bimodal probability distributions

被引:8
作者
Lancic, Alen [2 ]
Antulov-Fantulin, Nino [3 ]
Sikic, Mile [3 ]
Stefancic, Hrvoje [1 ]
机构
[1] Rudjer Boskovic Inst, Div Theoret Phys, HR-10002 Zagreb, Croatia
[2] Univ Zagreb, Fac Sci, Dept Math, Zagreb 41000, Croatia
[3] Univ Zagreb, Fac Elect Engn & Comp, Dept Elect Syst & Informat Proc, Zagreb 41000, Croatia
关键词
Epidemic spreading; SIR model; Bimodal probability distribution; Phase diagram; Complex networks; SCALE-FREE NETWORKS; COMPLEX NETWORKS; DYNAMICS; WEB;
D O I
10.1016/j.physa.2010.06.024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Disease spreading on complex networks is studied in SIR model. Simulations on empirical complex networks reveal two specific regimes of disease spreading: local containment and epidemic outbreak. The variables measuring the extent of disease spreading are in general characterized by a bimodal probability distribution. Phase diagrams of disease spreading for empirical complex networks are introduced. A theoretical model of disease spreading on m-ary tree is investigated both analytically and in simulations. It is shown that the model reproduces qualitative features of phase diagrams of disease spreading observed in empirical complex networks. The role of tree-like structure of complex networks in disease spreading is discussed. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:65 / 76
页数:12
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