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具有双线性感染率和免疫接种SIRS模型分析
引用本文:李玉辉.具有双线性感染率和免疫接种SIRS模型分析[J].北华大学学报(自然科学版),2011(2):149-153.
作者姓名:李玉辉
作者单位:北方工业学校数学教研室;
摘    要:根据传染病动力学,建立了一类具有双线性感染率和免疫接种的SIRS传染病模型.利用微分方程定性和稳定性理论,讨论了平衡点的性态和全局渐近稳定性,得到了一些新结果.

关 键 词:传染病模型  双线性感染率  接种  平衡点  稳定性

Analysis of SIRS Model with Double linearity Infection Rate and Immunity Vaccine
LI Yu-hui.Analysis of SIRS Model with Double linearity Infection Rate and Immunity Vaccine[J].Journal of Beihua University(Natural Science),2011(2):149-153.
Authors:LI Yu-hui
Institution:LI Yu-hui(Staff Room of Mathematics,North China Seminary of Technology,Panjin 124021,China)
Abstract:Based on infection dynamics,a class of SIRS infection model with double linearity infection rate and immunity vaccines is established.By using qualitative theory and stability theory of differential equations,the behavior of equilibrium point and global progressive stability of its equilibrium point are discussed,some new results are obtained.
Keywords:infection model  double linearity infection rate  vaccines  equilibrium point  stability  
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