Epidemic spreading on a scale-free network with awareness

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

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.

Keywords: scale-free network awareness vaccination epidemic threshold

Received: 04 March 2012
Revised: 03 June 2012
Accepted manuscript online:

PACS:	02.50.-r	(Probability theory, stochastic processes, and statistics)
	05.45.-a	(Nonlinear dynamics and chaos)

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. BK2010526), and the Graduate Student Innovation Research Program of Jiangsu Province, China (Grant No. CXLX11_-0414).

Corresponding Authors: Jiang Guo-Ping
E-mail: jianggp@njupt.edu.cn

Cite this article:

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 2012 Chin. Phys. B 21 100207

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