郑州大学学报（理学版）Issue(3)：43-48,54,7.DOI:10.3969/j.issn.1671-6841.2015.03.008
一类具有脉冲免疫的时滞SIRS传染病模型的全局分析
Global Analysis of a Delay SIRS Epidemic Disease Model with Pulse Vaccination
摘要
Abstract
An SIRS epidemic disease model with pulse vaccination and integral delays was considered, and dynamics behaiors of the model under pulse vaccination were analyzed. By use of the discrete dynam-ical system determined by the stroboscopic map, an“infection-free” periodic solution was obtained and it iwas shown that the‘infection-free’ periodic solution was asymptotic stability. Then, it was proved that when some parameters of the model were in appropriate condictions, the ‘infection-free’ periodic sollu-tion was globally attractive. Futher, with the theory on delay functional and impulsive differential equa-tion, sufficient condiction with time delay for permanence of the system was given. At the same time, the condition of the global attractivity of the model was obtained.关键词
脉冲免疫/周期解/持久性/积分时滞/全局吸引性Key words
pulse vaccination/periodic solution/permanence/integral delays/global attractivity分类
数理科学引用本文复制引用
吴燕兰,黄文韬,吴岱芩..一类具有脉冲免疫的时滞SIRS传染病模型的全局分析[J].郑州大学学报（理学版）,2015,(3):43-48,54,7.基金项目
国家自然科学基金资助项目,编号11261013 （）
广西高校科研项目,编号KY2015ZD043 （）
