具有接种免疫的SIR传染病模型  

An SIR epidemic model with vaccination

作　　者：吴向群[1] 柳小脉 

机构地区：[1]泉州师范学院数学系,福建泉州362000

出　　处：《高师理科学刊》2012年第1期28-31,共4页Journal of Science of Teachers＇College and University

摘　　要：在经典SIR模型的基础上构建了一种具有接种免疫的SIR传染病模型,利用数值分析的方法对其传播过程进行研究,通过理论分析证明其渐近稳定性.与传统的统计方法相比,利用该模型能够更好地了解流行过程中的一些全局性态.Constructed a SIR epidemic model with vaccination based on the classical SIR model,researched it′s communication process by numerical analysis method,then proved its asymptotic stability by theoretical analysis method.Compared with the traditional statistical method,we can better to understand the global behavior of the epidemic process by using of the SIR epidemic model with vaccination.

关 键 词：接种免疫 传染病 无病平衡点 全局渐近稳定性 

分 类 号：O175[理学—数学]