A stochastic SIR epidemic on scale-free network with community structure

被引：35

作者：

Zhang, Huiling ^{[1
]}

Guan, Zhi-Hong ^{[1
]}

Li, Tao ^{[2
]}

Zhang, Xian-He ^{[3
]}

Zhang, Ding-Xue ^{[4
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[2] Yangtze Univ, Elect & Informat Coll, Jinzhou 434023, Peoples R China

[3] Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Peoples R China

[4] Yangtze Univ, Petr Engn Coll, Jinzhou 420400, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2013年 / 392卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Scale-free network; Community structure; Stochastic epidemic; Basic reproduction number; COMPLEX NETWORKS; MODELS;

D O I：

10.1016/j.physa.2012.10.016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The scale-free degree distribution and community structure are two significant properties shared by numerous complex networks. In this paper, we investigate the impact of these properties on a stochastic SIR epidemic which incorporates the stochastic nature of epidemic spreading. A two-type branching process is employed to approximate the early stage of epidemic spreading. The basic reproduction number R-0 is obtained. And the influences of scale-free property and community structure on R-0 are analyzed by numerical simulations. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：974 / 981

页数：8

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