具常数输入有饱和传染率和垂直传染的SEIR模型  

A class of SEIR model with constant input,saturated incidence rate and vertical transmission

作　　者：陈建娟[1] 廖新元[1] 王光菊[1] 

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《徐州师范大学学报（自然科学版）》2011年第4期16-20,共5页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771139)

摘　　要：考虑一类具常数输入有饱和传染率和垂直传染的SEIR模型,通过计算得到了基本再生数R0,利用线性化方法、Hurwitz判据分析了平衡点的局部稳定性,根据Lozinskil测度分析了系统不存在周期轨道,并由Poincare-Ben-dixson性质、比较法等得到了无病平衡点和地方病平衡点的全局渐近稳定性.Considering a class of SEIR model with constant input,saturated incidence rate and vertical transmission,the basic reproductive number R0 is obtained through calculation.With linearization method and Hurwitz criterion,the local stability at equilibrium point is analyzed.And the global asymptotic stability of desease-free equilibrium and endemic equilibrium is discussed.

关 键 词：饱和传染率 垂直传染 Hurwitz判据 

分 类 号：O175.1[理学—数学]