一类SIQS传染病模型稳定性分析  

Stability analysis of a class of SIQS epidemic disease model

作　　者：李琪[1] 陈绍东[2] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055 [2]南阳理工学院应用数学系,河南南阳473004

出　　处：《兰州理工大学学报》2012年第1期167-172,共6页Journal of Lanzhou University of Technology

摘　　要：建立一类具有一般非线性接触率及染病年龄结构的SIQS传染病模型.运用不动点定理、Bellman-Gronwall引理及Laplace变换等方法讨论地方病平衡点的存在性及稳定性,无病平衡点的稳定性.得到地方病平衡点指数渐近稳定的一般性条件.A class of SIQS epidemic disease model with general nonlinear contact rate and infection-age was formulated.By using the fixed theorem,Bellman-Gronwall lemma and Laplace transformation,the existence and stability of endemic disease equilibrium,the stability of disease-free equilibrium were discussed,respectively.In the same time,an ordinary condition was obtained under which the endemic disease equilibrium index was of exponential asymptotical stability.

关 键 词：隔离 非线性接触率 染病年龄 SIQS传染病模型 

分 类 号：O175[理学—数学]