期刊文献+

流行病在空间分布人群中的传播模型 被引量:1

Epidemic Spreading in Spatially Distributed Populations
下载PDF
导出
摘要 研究流行病传播规律,考虑了流行病在空间分布人群中的随机传播过程。目前,人们通常应用复杂网络来模拟人群中的流行病传播过程,但是,复杂网络模型中没有空间、距离等概念,在现实中,人群通常是空间分布,即空间关系是流行病传播的重要影响因素。针对上述问题,提出一种流行病传播的新模型,使人群分布在一个有界区域内,并创新性地引入了距离的概念,改善了复杂网络模型忽视空间因素的缺陷。利用模型建构,通过编写Matlab程序对整个传播过程进行仿真,分析了个体针对病毒所产生的暂时性免疫力对流行病传播过程的影响。表明仿真结果与实际现象吻合。结果证明将空间因素纳入模型更为合理。 In this paper,a novel model is presented to study the effects of epidemic spreading in spatially distributed populations.Recently,complex network models for epidemics have been widely studied.As we know,complex network models focuses on the interconnection structure between different individuals and neglected the spatial relation.However,the spatial relation is sometimes a significant role in the epidemic spreading.Based on this observation,we propose a simplified model in this paper to analyze the epidemic spreading in a spatially distributed population.A relationship between individual immunity effect and epidemic spreading is also investigated.And the results are consistent with the commonsense.The numerical simulation proves the rationality of the space-included model compared with the complex network models.
出处 《计算机仿真》 CSCD 北大核心 2010年第8期65-68,共4页 Computer Simulation
关键词 流行病传播 扩散 免疫作用 随机网络 数值仿真 Epidemic spreading Diffusion Immunity Random network Numerical stimulation
  • 相关文献

参考文献12

  • 1J Murray.Mathematical Biology[M].Springer Verlag,Berlin,1993. 被引量:1
  • 2J Hyman and J Li.An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations[J].Math Biosci,2000,167:65-86. 被引量:1
  • 3Z Liu and B Hu,Epidemic spreading in community networks[J].Europhys Lett,2005,72(2):315-321. 被引量:1
  • 4M Small and C Tse.Small world and scale free model of transmission of SARS[J].Int J Bifurcation and Chaos,2005,15(5):1745-1755. 被引量:1
  • 5D Watts.Small Worlds The Dynamics of Networks between Order and Randomness[M].Princeton University Press,Princeton,New Jersey,1999. 被引量:1
  • 6R Pastor-Satorras and A Vespignani.Epidemic dynamics and endemic states in complex networks[J].Phys Rev E 2001,63:66-117. 被引量:1
  • 7王正中.复杂系统仿真方法及应用[J].计算机仿真,2001,18(1):3-6. 被引量:46
  • 8Y Hong.Finite time stabilization and stabilizability of a class of controllable systems[J].Systems & Control Letters,2002,46:231-236. 被引量:1
  • 9Y Hong,J Huang and Y Xu.On an output feedback finite time stabilization problem[C].IEEE Trans on Automatic Control,2001,46:305-309. 被引量:1
  • 10Y Hong,J Wang,Z Xi.Stabilization of uncertain chained form systems within finite settling time[C].IEEE Trans on Automatic Control,2005,50:1379-1384. 被引量:1

二级参考文献6

共引文献45

同被引文献4

引证文献1

二级引证文献4

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