Spreading dynamics and global stability of a generalized epidemic model on complex heterogeneous networks

被引：92
|
作者：
Zhu, Guanghu [1 ]
Fu, Xinchu [1 ]
Chen, Guanrong [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 12期
关键词：
Heterogeneous network; Generalized model; Epidemic dynamics; Global stability; OUTBREAKS; BEHAVIOR;
D O I：
10.1016/j.apm.2012.01.023
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a generalized epidemic model on complex heterogeneous networks is proposed. To give a theoretical explanation for the simulation results established on networks, mathematical analysis of the epidemic dynamics is presented via mean-field approximation. Stabilities of the disease-free equilibrium and the endemic equilibrium are studied. The results explain why the heterogeneous connectivity patterns impact the epidemic threshold and reveal how the host parameters and the underlying network structures determine disease propagation. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：5808 / 5817
页数：10
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