应用数学2007,Vol.20Issue(2):233-238,6.
具可变种群总数的SIS传染病模型指数稳定性
Exponential Stability of SIS Epidemic Models with Varying Total Population Size
摘要
Abstract
An SIS epidemic model with varying total population size is studied. Using new analytic technique based on the concept of comparison,some suffcient conditions are obtained to guarantee the local or global exponential stability of the disease free equilibrium and the endemic equilibrium.Furthermore ,the estimate of the exponential convergence rate of the equilibrium and the estimate of the region of exponential convergence of the equilibrium are derived.关键词
传染病模型/无病平衡点/传染病平衡点/指数稳定性/收敛率Key words
Epidemic model/Disease free equilibrium/Endemic equilibrium/Exponential stability/Convergence rate分类
数理科学引用本文复制引用
傅朝金,沈轶,郑绿洲..具可变种群总数的SIS传染病模型指数稳定性[J].应用数学,2007,20(2):233-238,6.基金项目
Supported by the National Natural Science Foundation of China (60574025)and the Science Foundation of Hubei Province Education Department (B20052201) (60574025)