Epidemic spreading in scale-free networks including the effect of individual vigilance

doi:10.1088/1674-1056/21/1/010205

中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10205-010205.doi: 10.1088/1674-1056/21/1/010205

Epidemic spreading in scale-free networks including the effect of individual vigilance

宋玉蓉¹, 蒋国平¹, 巩永旺²

(1)College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; (2)College of Computer, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; School of Information Engineering, Yancheng Institute of Technology, Yancheng 224051, China

收稿日期:2011-06-23 修回日期:2011-07-30 出版日期:2012-01-15 发布日期:2012-01-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60874091), the Six Projects Sponsoring Talent Summits of Jiangsu Province, China (Grant No. SJ209006), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK

Epidemic spreading in scale-free networks including the effect of individual vigilance

Gong Yong-Wang(巩永旺)^a)b), Song Yu-Rong(宋玉蓉)^c), and Jiang Guo-Ping(蒋国平)^c)†

^a College of Computer, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; ^b School of Information Engineering, Yancheng Institute of Technology, Yancheng 224051, China; ^c College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received:2011-06-23 Revised:2011-07-30 Online:2012-01-15 Published:2012-01-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60874091), the Six Projects Sponsoring Talent Summits of Jiangsu Province, China (Grant No. SJ209006), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK

摘要/Abstract

摘要： In this paper, we study the epidemic spreading in scale-free networks and propose a new susceptible-infected- recovered (SIR) model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Furthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection.

关键词: scale-free network, susceptible-infected-recovered model, individual vigilance, epidemic threshold

Abstract: In this paper, we study the epidemic spreading in scale-free networks and propose a new susceptible-infected- recovered (SIR) model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Furthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection.

Key words: scale-free network, susceptible-infected-recovered model, individual vigilance, epidemic threshold

中图分类号: (Decision theory and game theory)

02.50.Le

05.45.-a (Nonlinear dynamics and chaos)

巩永旺, 宋玉蓉, 蒋国平. Epidemic spreading in scale-free networks including the effect of individual vigilance[J]. 中国物理B, 2012, 21(1): 10205-010205.

Gong Yong-Wang(巩永旺), Song Yu-Rong(宋玉蓉), and Jiang Guo-Ping(蒋国平) . Epidemic spreading in scale-free networks including the effect of individual vigilance[J]. Chin. Phys. B, 2012, 21(1): 10205-010205.

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Epidemic spreading in scale-free networks including the effect of individual vigilance

Epidemic spreading in scale-free networks including the effect of individual vigilance

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