[1]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,(05):531-535.
 CHEN Shufang,WU Qingchu.The Impact of Local Behavioral Response on Epidemic Spreading in Networks[J].,2015,(05):531-535.
点击复制

网络上局部行为反应对爆发阈值的影响()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年05期
页码:
531-535
栏目:
出版日期:
2015-10-01

文章信息/Info

Title:
The Impact of Local Behavioral Response on Epidemic Spreading in Networks
作者:
陈淑芳;吴庆初
江西师范大学物理与通信电子学院,江西南昌,330022;江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
CHEN Shufang;WU Qingchu
关键词:
社会网络局部信息行为反应爆发阈值
Keywords:
social networkslocal informationbehavioral responseepidemic threshold
分类号:
O157.5
文献标志码:
A
摘要:
利用微观马氏链近似方法研究了社会网络上基于局部信息的行为反应对疾病传播的影响。根据微分方程的稳定性理论,得到了爆发阈值与行为反应参数的依赖关系;结合同质小世界网络上的随机模拟,发现在网络结构不变的情况下个体的行为反应对疾病控制有一定的作用。
Abstract:
The impact of local information based behavioral response on epidemic spreading in social networks is studied by using the microscopic Markov-chain approximation approach. According to the stability theory of differen-tial equations,the relation between the epidemic threshold and the response parameter is obtained. Combining with the stochastic simulations on homogeneous small-world networks,the results suggest that local behavior response is effective in controlling epidemic outbreak.

参考文献/References:

[1] Newman M E J.The structure and function of complex networks [J].SIAM Review,2003,45(2):167-256.
[2] Funk S,Gilad E,Jansen V A A.Endemic disease,awareness,and local behavioural response [J].J Theor Biol,2010,264(2):501-509.
[3] Shaw L B,Schwartz I B.Fluctuating epidemics on adaptive networks [J].Phys Rev E,2008,77(6):066101.
[4] Sahneh F D,Chowdhury F N,Scoglio C M.On the existence of a threshold for preventive behavioral responses to suppress epidemic spreading [J].Sci Rep,2012,2(6):632.
[5] Wu Qingchu,Zhang Haifeng,Zeng Guanghong.Responsive immunization and intervention for infectious diseases in social networks [J].Chaos,2014,24(2):023108.
[6] Wu Qingchu,Fu Xinchu,Small M,et al.The impact of awareness on epidemic spreading in network [J].Chaos,2012,22(1):013101.
[7] Shang Yilun.Modeling epidemic spread with awareness and heterogeneous transmission rates in networks [J].J Biol Phys,2013,39(3):489-500.
[8] Bagnoli F,Liò P,Sguanci L.Risk perception in epidemic modeling [J].Phys Rev E,2008,76(6):61904.
[9] Zhang Haifeng,Xie Jiarong,Tang Ming,et al.Suppression of epidemic spreading in complex networks by local information based behavioral responses [J].Chaos,2014,24(4):043106.
[10] Pastor-Satorras R,Vespignani A.Epidemic spreading in scale-free networks [J].Phys Rev Lett,2001,86(14):3200-3203.
[11] Newman M E J.Spread of epidemic disease on networks [J].Phys Rev E,2002,66(1):016128.
[12] Marceau V,Noël P A,Hébert-Dufresne L,et al.Adaptive networks:Coevolution of disease and topology [J].Phys Rev E,2010,82(3):036116.
[13] Li Kezan,Xu Zongpu,Zhu Guanghu,et al.Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness [J].Chin Phys B,2014,23(11):118904.
[14] Li Cong,van de Bovenkamp R,Van Mieghem P.Susceptible-infected-susceptible model:A comparison of N-intertwined and heterogeneous mean-field approximations [J].Phys Rev E,2012,86(2):026116.
[15] Ferreira S C,Castellano C,Pastor-Satorras R.Epidemic thresholds of the susceptible-infected-susceptible model on networks:A comparison of numerical and theoretical results [J].Phys Rev E,2012,86(4):041125.
[16] Wu Qingchu,Zhang Haifeng,Small M,et al.Threshold analysis of the susceptible-infected-susceptible model on overlay networks [J].Commun Nonlinear Sci Numer Simulat,2014,19(7):2435-2443.
[17] Kostova T J.Interplay of node connectivity and epidemic rates in the dynamics of epidemic networks [J].Differ Equ Appl,2009,15(4):415-428.
[18] Wang Yang,Chakrabarti D,Wang Chenxi,et al.Epidemic spreading in real networks:An eigenvalue viewpoint [C]//Proceedings of 22nd International Symposium on Reliable Distributed Systems(Carnegie Mellon University,Pittsburgh,PA,2003).
[19] Gòmez S,Arenas A,Borge-Holthoefer J,et al.Discrete-time Markov chain approach to contact-based disease spreading in complex networks [J].Europhys Lett,2010,89:38009.
[20] Van Mieghem P,Omic J,Kooij R E.Virus spread in networks [J].IEEE ACM T Network,2009,17(1):1-14.
[21] Cator E,Van Mieghem P.Second-order mean-field susceptible-infected-susceptible epidemic threshold [J].Phys Rev E,2012,85(5):056111.
[22] Granell C,Gòmez S,Arenas A.Dynamical interplay between awareness and epidemic spreading in multiplex networks [J].Phys Rev Lett,2013,111(12):12870.
[23] Van Mieghem P,Graph spectra for complex networks [M].Cambridge:Cambridge University Press,2011:43-44.
[24] Santos F C,Rodrigues J F,Pacheco J M.Epidemic spreading and cooperation dynamics on homogeneous small-world networks [J].Phys Rev E,2005,72(5):056128.
[25] House T,Keeling M J.The impact of contact tracing in clustered populations [J].Plos Comput Biol,2010,6(3):e1000721.
[26] Cohen R,Havlin S,ben-Avraham D.Efficient immunization strategies for computer networks and populations [J].Phys Rev Lett,2003,91:247901.
[27] Hébert-Dufresne L,Allard A,Young J G,et al.Global efficiency of local immunization on complex network [J].Sci Rep,2013,3:2171.
[28] 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.
[29] 李睿琪,唐明,许伯铭.多关系网络上的流行病传播动力学研究 [J].物理学报,2013,62(16):168903.
[30] Xia Chenyi,Wang Zhen,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.

备注/Memo

备注/Memo:
国家自然科学基金(61203153,61463022)
更新日期/Last Update: 1900-01-01