两个城市人口相互流动的流感模型研究  

Influenza Model Study of the Mutual Flow Between Two Urban Populations

作　　者：朱宏淼[1] 靳祯[1] 

机构地区：[1]中北大学数学系,山西太原030051

出　　处：《数学的实践与认识》2012年第6期103-110,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(60771026);山西省国际科技合作项目(2010081005);山西省基础研究项目(2010011007)

摘　　要：研究了两个城市之间人口相互流动的具有出生死亡的SIR流感模型,获得了该模型基本再生数,并对基本再生数与移出率之间的关系作了敏感度分析.结果显示,人口的适当迁移可以有效控制流感爆发.This paper studies the SIR influenza model of the mutual flow between two urban populations with birth and death,We obtain the basic reproduction of this model. And we analyse the sensitivity of the relationship between the basic reproduction and the rate of removal.The results show that the appropriate migration of the population can effectively control the outbreak of the influenza.

关 键 词：流感传播模型 敏感度分析 迁移 

分 类 号：C922[社会学—人口学] O242.1[理学—计算数学]