一类离散的SIR传染病模型分析  

Analysis of A Discrete-time SIR Epidemic Model

作　　者：谷丽[1] 邢秀梅[1] 

机构地区：[1]伊犁师范学院数学系,新疆伊宁835000

出　　处：《伊犁师范学院学报（自然科学版）》2010年第3期19-21,共3页Journal of Yili Normal University：Natural Science Edition

摘　　要：在一定的假设下,建立了一类有垂直传染且康复者的新生儿不具有免疫力的离散的SIR的传染病模型,借助差分方程理论,分析得到易感者和染病者的最终状态,并发现染病者数量的变化规律及相应的阈值条件.Epidemic model is established of a vertical infection and all rehabilitation＇s newborn no immunity discrete time under some assumption. The ultimate states of the susceptible and infective are obtained,and the varying tendency of the number of the infective and the corresponding threshold condition are found.

关 键 词：离散 传染病模型 最终状态 阈值 稳定 

分 类 号：O175.1[理学—数学]