摘要
研究一类带人口流动的SEIR传染病模型,运用动力系统的基础知识得到了基本在再生数R0的表达式,证明了R0<1时,无病平衡点全局渐进稳定。当R0>1时,无病平衡点不稳定,而地方病平衡点全局渐进稳定。
In this paper, one type of SEIR epidemic model with floating population is formulated. The expressions of basic reproductive number are obtained by applying basic knowledge of dynamical system. Moreover, it is proved that when R0<1,the disease-free equilibrium features globally asymptotic stability;when R0>1,the disease-free equilibrium features instability, while the endemic disease equilibrium is globally and asymptotically stable.
作者
张丽娟
王福昌
庄需芹
靳志同
ZHANG Lijuan;WANG Fuchang;ZHUANG Xuqin;JIN Zhitong(Institute of Disaster Prevention,Sanhe 065201,China)
出处
《防灾科技学院学报》
2019年第2期78-81,共4页
Journal of Institute of Disaster Prevention
基金
防灾科技学院教育教学研究项目(JY2017B10)
中央高校基本科研业务专项(ZY20180213)
关键词
流动人口
潜伏期
基本再生数
全局稳定
floating population
latent period
basic reproductive number
global stability
