期刊文献+

异质网络上几类传染病模型及其全局动力学分析

Some epidemic models on heterogeneous networks and global dynamics analysis
下载PDF
导出
摘要 随着复杂网络不断渗入众多学科领域,经典的传染病模型无法精确描述现实社会的接触网络,因此,利用合理的复杂网络模型描绘各种各样的复杂系统成为复杂性科学领域的研究前沿和热点.综述介绍了一类复杂网络传播动力学几种改进的异质网络模型及其全局动力学分析方法. As complex networks have penetrated into many scientific fields,the classical epidemic models cannot account for contact networks in real world accurately.Therefore,using complex networks to describe various complex systems has become a hot topic in complexity science.This paper presents a survey of some modified epidemic models in heterogeneous networks,and introduces some analytical methods to study their global dynamics.
出处 《应用数学与计算数学学报》 2016年第2期191-214,共24页 Communication on Applied Mathematics and Computation
基金 国家自然科学基金资助项目(11331009) 广西自然科学基金资助项目(2014GXNSFBA118016) 广西教育厅基金资助项目(YB2014122)
关键词 复杂网络 网络模型 传播动力学 complex network network model transmission dynamics
  • 相关文献

参考文献39

  • 1Watts D J, Strogatz S H. Collective dynamics of small-world networks [J]. Nature, 1998, 393: 440-442.
  • 2Barabasi A L, Albert R. Emergence of scaling in random networks [J]. Science, 1999, 286(5439): 509-512.
  • 3Pastor-Satorras R, Vespignani A. Epidemic spreading in scale-free networks [J]. Physical Review Letters, 2001, 86: 3200-3203.
  • 4Pastor-Satorras R, Vespignani A. Epidemic dynamics in finite size scale-free networks [J]. Physical Review E, 2002, 65: 035108.
  • 5Pastor-Satorras R, Vespignani A. Epidemic dynamics and endemic states in complex networks [J]. Physical Review E, 2001, 63: 066117.
  • 6Newman M E J. Spread of epidemic disease on networks [J]. Physical Review E, 2002, 66: 016128.
  • 7Wang Y, Chakrabarti D, Wang C, Faloutsos C. Epidemic spreading in real networks: an eigen- value viewpoint [C]// Proceedings of the IEEE Symposium on Reliable Distributed Systems. 2003: 25-43.
  • 8Moreno Y, Gomez J B, Pacheco A F. Epidemic incidence in correlated complex networks [J]. Physical Review E, 2003, 68: 035103.
  • 9Boguna M, Pastor-Satorras R. Epidemic spreading in correlated complex networks [J]. Physical Review E, 2002, 66: 047104.
  • 10Boguna M, Pastor-Satorras R, Vespignani A. Absence of epidemic threshold in scale-free net- works with degree correlations [J]. Physical Review Letters, 2003, 90(2): 028701.

二级参考文献26

  • 1Chi L P, Wang R, Su H, Xu X P, Zhao J S, Li W and Cai X 2003 Chin. Phys. Lett. 20 1393.
  • 2He Y, Zhu X and He D R 2004 Int. J. Mod. Phys. B 18 2595.
  • 3XuT, Chen J, HeY and HeD R2004 Int. J. Mod. Phys.B 18 2599.
  • 4Fan Y, Li M, Chen J, Gao L, Di Z and Wu J 2004 Int. J.Mod. Phys. B 18 2505.
  • 5Liljeros F, Edling C R, Amaral L A N, Stanley H E and Aberg Y 2001 Nature 411 907.
  • 6Lloyd A L and May R M 2001 Science 292 1316.
  • 7Moore C and Newman ME J 2000 Phys. Rev. E 61 5678.
  • 8Abramson G and Kuperman M 2001 Phys. Rev. Lett. 86 2909.
  • 9Pastor-Satorras R and Vespignani A 2001 Phys. Rev. Lett.86 3200.
  • 10Pastor-Satorras R and Vespignani A 2001 Phys. Rev. E 63 066117.

共引文献18

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