Epidemic spreading on networks with vaccination

作     者：史红静 段志生 陈关荣 李嵘 

作者机构：State Key Laboratory for Turbulence and Complex SystemsDepartment of Mechanics and Aerospace EngineeringCollege of EngineeringPeking University Department of Electronic EngineeringCity University of Hong Kong 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2009年第18卷第8期

页      面：3309-3317页

核心收录：

学科分类：1001[医学-基础医学(可授医学、理学学位)] 100102[医学-免疫学] 10[医学] 

基　　金：supported by the National Natural Science Foundation of China (Grant Nos 60674093,10832006) the Hong Kong Research Grants Council under Grant CityU 1117/08E 

主　　题：complex network disease spreading SIS model epidemic modeling vaccination epidemic threshold 

摘      要：In this paper, a new susceptible-infected-susceptible （SIS） model on complex networks with imperfect vaccination is proposed. Two types of epidemic spreading patterns （the recovered individuals have or have not immunity） on scale-free networks are discussed. Both theoretical and numerical analyses are presented. The epidemic thresholds related to the vaccination rate, the vaccination-invalid rate and the vaccination success rate on scale-free networks are demonstrated, showing different results from the reported observations. This reveals that whether or not the epidemic can spread over a network under vaccination control is determined not only by the network structure but also by the medicine＇s effective duration. Moreover, for a given infective rate, the proportion of individuals to vaccinate can be calculated theoretically for the case that the recovered nodes have immunity. Finally, simulated results are presented to show how to control the disease prevalence.