广西科学院学报2011，Vol.27Issue(4)：294-298,302,6.
一类脉冲免疫SIR传染病模型的无病τ周期解的存在性与稳定性
Existence and Stability of Infection-free Periodic Solutions to Impulsively Vaccinating SIR Epidemic Model
摘要
Abstract
An SIR epidemic model with generalized logistic death rate and stage structured was established.Using the discrete dynamical system determined by the stroboscopic map,an infection free periodic solution of the model under impulsive vaccination was obtained.Based on Floquet theory and the comparison theorem of impulsive differential equation,the analysis of global asymptotic stability of the infection free periodic solution was illustrated.关键词
脉冲方程/免疫接种/SIR模型/全局渐近稳定性/τ周期解Key words
impulsive differential equations/impulsive vaccination/SIR model/global asymptotic stability/τ periodicsolution分类
数理科学引用本文复制引用
黄娜,石志杰,黄健民..一类脉冲免疫SIR传染病模型的无病τ周期解的存在性与稳定性[J].广西科学院学报,2011,27(4):294-298,302,6.基金项目
国家自然基金项目(10961005)资助 （10961005）
