Epidemic spreading on a scale-free network with awareness  

作　　者：鲁延玲 蒋国平 宋玉蓉 

机构地区：[1]College of Computer,Nanjing University of Posts and Telecommunications [2]College of Automation,Nanjing University of Posts and Telecommunications

出　　处：《Chinese Physics B》2012年第10期44-48,共5页中国物理B（英文版）

基　　金：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);the Graduate Student Innovation Research Program of Jiangsu Province,China (Grant No. CXLX11 0414)

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.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 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构] N94[自动化与计算机技术—计算机科学与技术]