期刊文献+

Different Epidemic Models on Complex Networks 被引量:6

Different Epidemic Models on Complex Networks
在线阅读 下载PDF
导出
摘要 Models for diseases spreading are not just limited to SIS or SIR. For instance, for the spreading of AIDS/HIV, the susceptible individuals can be classified into different cases according to their immunity, and similarly, the infected individuals can be sorted into different classes according to their infectivity. Moreover, some diseases may develop through several stages. Many authors have shown that the individuals' relation can be viewed as a complex network. So in this paper, in order to better explain the dynamical behavior of epidemics, we consider different epidemic models on complex networks, and obtain the epidemic threshold for each ease. Finally, we present numerical simulations for each case to verify our results.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第7期180-184,共5页 理论物理通讯(英文版)
基金 Supported by the Foundation of Anhui Education Bureau under Grant No.KJ2007A003 the Natural Science Foundation of Anhui,China under Grant No.070416225 a Grant from the Health,Welfare and Food Bureau of the Hong Kong SAR Government NSFC under Grant No.10672146 supported by Shanghai Leading Academic Discipline Project,Project Number:S30104
关键词 epidemic threshold scale-free network diseases spreading multiple-staged infectivity rate 流行病模型 复杂网络 疾病模型 艾滋病毒 动力学行为 网络浏览 网络模型 数值模拟
  • 相关文献

参考文献18

  • 1W.O. Kermack and A.G. McKendrick, Proc. Roy. Soc. A 115 (1927) 700.
  • 2A-L. Barabfisi and R. Albert, Science 286 (1999) 509.
  • 3F. Liljeros, C.R. Edling, et al., Nature (London) 411 (2001) 907.
  • 4J.Z. Liu, et al., J. Star. Mech. (2004) P08008.
  • 5R. Pastor-Satorras and A. Vespignani, Phys. Rev. E 63 (2001) 066117.
  • 6R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86 (2001) 3200.
  • 7M.E.J. Newman, Phys. Rev. E 66 (2002) 016128.
  • 8E. Massad, et al., Appl. Math. Comput. 195 (2007) 376.
  • 9J.M. Hyman and J. Li, Math. Biosci. 167 (2000) 65.
  • 10T. Zhou, J.G. Liu, et al., Phys. Rev. E 74 (2006) 056109.

同被引文献31

  • 1周涛,傅忠谦,牛永伟,王达,曾燕,汪秉宏,周佩玲.复杂网络上传播动力学研究综述[J].自然科学进展,2005,15(5):513-518. 被引量:74
  • 2孙炜,王耀南.一种CMAC网络模型及其在机器人控制中的应用[J].动力学与控制学报,2005,3(3):56-62. 被引量:4
  • 3张恩彪,江成顺.具时滞脉冲细胞神经网络的全局指数稳定性[J].动力学与控制学报,2006,4(1):88-92. 被引量:3
  • 4X. Li,L. Cao,G. F. Cao.Epidemic prevalence on random mobile dynamical networks: individual heterogeneity and correlation[J]. The European Physical Journal B . 2010 (3)
  • 5LIU Z H,HU B.Epidemic spreading in community net-works. Euro-physics Letters . 2005
  • 6SMALL M,,WALKER D M,TSE C K.Scale-free distribu-tion of avian influenza outbreaks. Physical Review Letters . 2007
  • 7Fraser C,Donnelly C A,Cauchemez S et al.Pandemic potential of a strain of Influenza A(H1N1):Early findings. Science . 2009
  • 8Dye C,Gay N.Epidemiology.Modeling the SARS epidemic. Science . 2003
  • 9Pastor-Satorras R,Vespignani A.Epidemic spreading in scale-free networks. Physics Review Letters . 2001
  • 10Zhang H F,Zhang J,Zhou C S,et al.Hub nodes inhibit the outbreak of epidemic under voluntary vaccination. New Phytologist . 2010

引证文献6

二级引证文献25

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部