信阳师范学院学报（自然科学版）2016，Vol.29Issue(4)：490-493,4.DOI:10.3969/j.issn.1003-0972.2016.04.002
具有饱和发生率和时滞的脉冲 SEIR 模型分析
Analysis of Impulsive SEIR Model with Saturated Incidence and Time Delay
摘要
Abstract
An impulsive SEIR epidemic model with saturated incidence and time delays was formulated and stud⁃ied. The infection⁃free periodic solution of the epidemic model was obtained,moreover, the condition for which the in⁃fection⁃free periodic solution is globally asymptotically stable was obtained. The results indicated that a large vaccina⁃tion rate or a short period of pulsing or a long latent period of the disease was a sufficient condition for the eradication of the disease.关键词
脉冲接种/饱和发生率/时滞/全局吸引Key words
impulsive vaccination/saturated incidence/time delay/global attractive分类
数理科学引用本文复制引用
谢栋梁,卢金梅,李永凤..具有饱和发生率和时滞的脉冲 SEIR 模型分析[J].信阳师范学院学报（自然科学版）,2016,29(4):490-493,4.基金项目
国家自然科学基金项目（11201433）；河南省高等学校青年骨干教师项目（2013GGJS-110）；河南省高等学校重点科研项目（15A110044，15A110051）；郑州轻工业学院青年骨干教师项目（2012XGGJS003）；郑州轻工业学院校内科研基金项目 （）
