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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 |
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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.
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Received: 23 June 2011
Revised: 30 July 2011
Accepted manuscript online:
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PACS:
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02.50.Le
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(Decision theory and game theory)
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05.45.-a
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(Nonlinear dynamics and chaos)
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Fund: 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 |
Cite this article:
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 2012 Chin. Phys. B 21 010205
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