Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization

被引：188

作者：

Fu, Xinchu ^{[1
]}

Small, Michael ^{[2
]}

Walker, David M. ^{[2
]}

Zhang, Haifeng ^{[3
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Hong Kong Polytech Univ, Dept Elect & Informat Engn, Kowloon, Hong Kong, Peoples R China

[3] Anhui Univ, Sch Math & Computat Sci, Hefei 230039, Peoples R China

来源：

PHYSICAL REVIEW E | 2008年 / 77卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.77.036113

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We examine epidemic thresholds for disease spread using susceptible-infected-susceptible models on scale-free networks with variable infectivity. Infectivity between nodes is modeled as a piecewise linear function of the node degree (rather than the less realistic linear transformation considered previously). With this nonlinear infectivity, we derive conditions for the epidemic threshold to be positive. The effects of various immunization schemes including ring and targeted vaccination are studied and compared. We find that both targeted and ring immunization strategies compare favorably to a proportional scheme in terms of effectiveness.

引用

页数：8

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