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人口流动性对感染性疾病扩散与传播的影响
引用本文:张少林. 人口流动性对感染性疾病扩散与传播的影响[J]. 生物数学学报, 2006, 21(2): 253-260
作者姓名:张少林
作者单位:浙江科技学院,理学院,浙江,杭州,310023
基金项目:浙江省自然科学基金资助(Y60513)
摘    要:研究人口流动性对具有斑快结构的感染性疾病传播与扩散的影响,讨论了具有斑块结构感染性疾病SIS模型的全局稳定性,得到了该模型基本再生数的倍增效应.

关 键 词:感染性疾病模型  基本再生数  全局稳定性  人口流动
文章编号:1001-9626(2006)02-0253-08
收稿时间:2004-11-23
修稿时间:2005-04-27

The Influence of Population Movement on the Transmission Effect of Infectious Disease
ZHANG Shao-lin. The Influence of Population Movement on the Transmission Effect of Infectious Disease[J]. Journal of Biomathematics, 2006, 21(2): 253-260
Authors:ZHANG Shao-lin
Affiliation:College of Sciences, Zhejiang University of Science and Technology, Hangzhou Zhejiang 310023 China
Abstract:An SIS model for an infectious disease in population movement is formulated and analyzed. The model is used to assess the impact, of observed difference in travel on the spread of the epidemic. The disease free equilibrium and endemic equilibrium are also discussed. The result show that infectious disease,and even more so when interconnected to other ones and forming a system,can have a multipier effect on the epidemic.
Keywords:Diseases Transmission model  Basic reproduction number  Global stability  Population movement
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