[1] Wang X F,Chen G R. Complex networks: small-world, scale-free and beyond[J].Circuits and Systems Magazine,IEEE,2003,3(1): 6-20.
[2] Newman M E J. The structure and function of complex networks[J].SIAM Rev,2003,45(2):167-256.
[3] Pastor-Satorras R,Vespignani A. Epidemic spreading in scale-free networks[J].Phys Rev Lett,2001,86(14): 3200-3203.
[4] Newman M E J.The spread of epidemic disease on networks[J].Phys Rev E,2002,66(1):016128.
[5] Pastor-Satorras R, Castellano C, Van Mieghem P, et al. Epidemic processes in complex networks[J].Rev Mod Phys, 2015, 87(3): 925.
[6] Xia C Y,Wang Z, Sanz J,et al. Effects of delayed recovery and nonuniform transmission on the spreading of diseases in complex networks[J].Physica A,2013,392:1577-1585.
[7] Fu X C, Small M, Walker D M, et al. Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization[J].Phys Rev E, 2008, 77(3): 036113.
[8] 李婵婵, 蒋国平, 宋玉蓉. 动态小世界社团网络上的病毒传播研究[J].复杂系统与复杂性科学, 2014, 11(3): 33-39.
Li Chanchan, Jiang Guoping, Song Yurong. Epidemic spreading in dynamic small-world networks with commuity structure[J].Complex Systems and Complexity Sicence, 2014, 11(3): 33-39.
[9] Zhang H F, Xie J R,Tang M, et al.Suppression of epidemic spreading in complex networks by local information based behavioral response[J].Chaos,2014,24(4):043106.
[10] Grassly N C, Fraser C, Garnett G P. Host immunity and synchronized epidemics of syphilis across the United States[J].Nature, 2005, 433(7024): 417-421.
[11] Xu R,Ma Z E,Wang Z P.Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity[J].Comput Math Appl,2010, 59:3211-3221.
[12] Nagy V. Mean-field theory of a recurrent epidemiological model[J].Phys Rev E, 2009,79(6):066105.
[13] 夏承遗,刘忠信,陈增强,等.复杂网络上带有直接免疫的SIRS类传染模型研究[J].控制与决策,2008, 23(4): 468-472.
Xia Chengyi, Liu Zhongxin, Chen Zengqiang, et al. SIRS epidemic model with direct immunization on complex networks[J].Control and Decision, 2008, 23(4): 468-472.
[14] 石定琴,柯林,周金贵,等. 带直接免疫的SIRS模型中疾病以2种途径传播的动力学分析[J].江西师范大学学报:自然科学版,2013,37(6):637-640.
Shi Dingqin, Ke Lin, Zhou Jingui, et al. The dynamical analysis for epidemic transmission on an SIRS model with direct immunization via two distinct routes[J].J Jiangxi Norm Univ (Nat Sci Ed), 2013,37(6):637-640.
[15] Yu R Z, Li K Z, Chen B D, et al. Dynamical analysis of an SIRS network model with direct immunization and infective vector[J].Adv Differ Equ-NY, 2015, 2015(1): 1-14.
[16] Chen L J, Sun J T.Global stability and optimal control of an SIRS epidemic model on heterogeneous networks[J].Physica A,2014, 410:196-204.
[17] Peng X L, Xu X J, Fu X C, et al. Vaccination intervention on epidemic dynamics in networks[J].Phys Rev E, 2013, 87(2): 022813.
[18] Michalik D E, Steinberg S P, LaRussa P S, et al. Primary vaccine failure after 1 dose of varicella vaccine in healthy children[J].J Infect Dis,2008,197: 944-949.
[19] 王伟, 杨慧, 龚凯, 等. 复杂网络上的局域免疫研究[J].电子科技大学学报, 2013, 42(6): 817-830.
Wang Wei, Yang Hui, Gong Kai, et al. Local immunization algorithm on complex networks[J].Journal of University of Electronic Science and Technology of China, 2013, 42(6): 817-830.
[20] Li K Z,Xu Z P, Zhu G H, et al. Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness[J].Chin Phys B,2014,23(11):118904.
[21] Li C H, Tsai C C, Yang S Y. Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks[J].Commun Nonlinear Sci Numer Simulat, 2014, 19(4):1042-1054.
[22] 张海峰,王阳阳,汪秉宏.行为反应对复杂网络上传染病动力学的影响[J].复杂系统与复杂性科学,2012,9(3):13-21.
Zhang Haifeng, Wang Yangyang, Wang Binghong. The impacts of behavioral responses on the spread of infectious diseases on complex networks[J].Complex Systems and Complexity Sicence, 2012,9(3):13-21.
[23] Wu Q C, Zhang H F,Zeng G H. Responsive immunization and intervention for infectious diseases in social networks[J].Chaos,2014,24(2):023108.
[24] Pastor-Satorras R, Vespignani A. Immunization of complex networks[J].Phys Rev E, 2002, 65(3): 036104.
[25] Lou J, Ruggeri T. The dynamics of spreading and immune strategies of sexually transmitted diseases on scale-free network[J].J Math Anal Appl, 2010, 365(1): 210-219.
[26] 王琴, 祝光湖, 傅新楚. 有向网络上流行病阈值比较和免疫分析[J].复杂系统与复杂性科学, 2012, 9(4): 26-33.
Wang Qin, Zhu Guanghu, Fu Xinchu. Comparison of epidemic thresholds on directednetworks and immunizatio nanalysis[J].Complex Systems and Complexity Sicence, 2012, 9(4): 26-33.
[27] Barabási A L, Albert R. Emergence of scaling in random networks[J].Science, 1999,286(5439):509-512.
[28] 陈淑芳,吴庆初.网络上局部行为反应对爆发阈值的影响[J].江西师范大学学报:自然科学版,2015,39(5):531-535.
Chen Shufang, Wu qingchu. The impact of local behavioral response on epidemic spreading in networks[J].J Jiangxi Norm Univ Nat Sci Ed, 2015,39(5):531-535.