Epidemic spreading on a scale-free network with awareness

doi:10.1088/1674-1056/21/10/100207

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100207-100207.doi: 10.1088/1674-1056/21/10/100207

Epidemic spreading on a scale-free network with awareness

鲁延玲^a, 蒋国平^b, 宋玉蓉^b

a College of Computer, Nanjing University of Posts and Telecommunications, Nanjing 210004, China;
b College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210004, China

收稿日期:2012-03-04 修回日期:2012-06-03 出版日期:2012-09-01 发布日期:2012-09-01
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. BK2010526), and the Graduate Student Innovation Research Program of Jiangsu Province, China (Grant No. CXLX11_-0414).

Epidemic spreading on a scale-free network with awareness

Lu Yan-Ling (鲁延玲)^a, Jiang Guo-Ping (蒋国平)^b, Song Yu-Rong (宋玉蓉)^b

a College of Computer, Nanjing University of Posts and Telecommunications, Nanjing 210004, China;
b College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210004, China

Received:2012-03-04 Revised:2012-06-03 Online:2012-09-01 Published:2012-09-01
Contact: Jiang Guo-Ping E-mail:jianggp@njupt.edu.cn
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. BK2010526), and the Graduate Student Innovation Research Program of Jiangsu Province, China (Grant No. CXLX11_-0414).

摘要/Abstract

摘要： This paper presents a modified susceptible-infected-recovered (SIR) model with the effects of awareness and vaccination to study the epidemic spreading on scale-free networks based on the mean-field theory. In this model, when susceptible individuals receive awareness from their infected neighbor nodes, they will take vaccination measures. The theoretical analysis and the numerical simulations show that the existence of awareness and vaccination can significantly improve the epidemic threshold and reduce the risk of virus outbreaks. In addition, regardless of the existence of vaccination, the awareness can increase the spreading threshold and slow the spreading speed effectively. For a given awareness and a certain spreading rate, the total number of infections reduces with the increasing vaccination rate.

关键词: scale-free network, awareness, vaccination, epidemic threshold

Abstract: This paper presents a modified susceptible-infected-recovered (SIR) model with the effects of awareness and vaccination to study the epidemic spreading on scale-free networks based on the mean-field theory. In this model, when susceptible individuals receive awareness from their infected neighbor nodes, they will take vaccination measures. The theoretical analysis and the numerical simulations show that the existence of awareness and vaccination can significantly improve the epidemic threshold and reduce the risk of virus outbreaks. In addition, regardless of the existence of vaccination, the awareness can increase the spreading threshold and slow the spreading speed effectively. For a given awareness and a certain spreading rate, the total number of infections reduces with the increasing vaccination rate.

Key words: scale-free network, awareness, vaccination, epidemic threshold

中图分类号: (Probability theory, stochastic processes, and statistics)

02.50.-r

05.45.-a (Nonlinear dynamics and chaos)

鲁延玲, 蒋国平, 宋玉蓉. Epidemic spreading on a scale-free network with awareness[J]. 中国物理B, 2012, 21(10): 100207-100207.

Lu Yan-Ling (鲁延玲), Jiang Guo-Ping (蒋国平), Song Yu-Rong (宋玉蓉). Epidemic spreading on a scale-free network with awareness[J]. Chin. Phys. B, 2012, 21(10): 100207-100207.

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Epidemic spreading on a scale-free network with awareness

Epidemic spreading on a scale-free network with awareness

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