Modelling epidemics on networks

被引：25
作者：
House, Thomas [1 ]
机构：
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
来源：
CONTEMPORARY PHYSICS | 2012年 / 53卷 / 03期
基金：
英国工程与自然科学研究理事会;
关键词：
epidemic; model; susceptible-infectious-recovered; networks; BEHAVIOR; DYNAMICS; SPREAD;
D O I：
10.1080/00107514.2011.644443
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Infectious disease remains, despite centuries of work to control and mitigate its effects, a major problem facing humanity. This paper reviews the mathematical modelling of infectious disease epidemics on networks, starting from the simplest Erdos-Renyi random graphs, and building up structure in the form of correlations, heterogeneity and preference, paying particular attention to the links between random graph theory, percolation and dynamical systems representing transmission. Finally, the problems posed by networks with a large number of short closed loops are discussed.
引用
收藏
页码：213 / 225
页数：13
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