一类具有时滞和阶段结构的SIR流行病模型分析  

Analysis of an SIR epidemic model with time-delay and stage-structured characteristics

作　　者：王丽敏[1] 刘熙娟[1] 

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《云南民族大学学报（自然科学版）》2015年第3期211-216,共6页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11061017)

摘　　要：建立了具阶段结构的时滞传染病模型,得到了疾病流行与否的阈值R0.讨论了R0<1时,无病平衡点的局部稳定性和Hopf分支的存在性及R0>1时,地方病平衡点的局部稳定性和Hopf分支的存在性.An epidemic model with time -delay and stage -structured characteristics is established, and the threshold value R0 for determining the epidemic of the disease is obtained. When R0 〈 1, the system＇s local asymp- totic stability and the existence of Hopf branch at its free equilibrium are analyzed, when R0 〉 1, the system＇s local asymptotic stability and the existence of Hopf branch at the positive equilibrium are also analyzed .

关 键 词：时滞 阶段结构 传染病模型 局部稳定性 HOPF分支 

分 类 号：O175[理学—数学]