一类具有预防接种和垂直传染的SIR传染病模型的定性分析  

A Qualitative Analysis of an SIR Epidemic Model with Continuous Vaccination and Vertical Transmission

作　　者：郭金生[1] 齐文凤 唐玉玲[1] 

机构地区：[1]河西学院数学与统计学院,甘肃张掖734000

出　　处：《贵州大学学报（自然科学版）》2014年第1期11-14,共4页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金(11061017);甘肃省自然科学基金(1010RJZA075)

摘　　要：讨论了一类具有垂直传染和标准发生率的连续预防接种的SIR传染病模型,得到了基本再生数,并利用Lasalle不变集原理和Dulac定理讨论了地方病平衡点和无病平衡点的局部和全局稳定性。This paper extends the definition and characters of D operator to general number field, and obtain the characters of D operator in the greatest common factor, the rank equalities of matrix polynomial and the reduc ibility of polynomial, and generalize the discriminances of polynomial irreducibility in existing literature, enric hing the discriminances to polynomial irreducibility.

关 键 词：传染病模型 平衡点 基本再生数 全局渐近稳定性 

分 类 号：O175[理学—数学]