信阳师范学院学报（自然科学版）2016，Vol.29Issue(3)：324-327,4.DOI:10.3969/j.issn.1003-0972.2016.03.004
具脉冲出生和连续接种的时滞传染病模型稳定性分析
Stability Analysis of a Delayed Epidemic Model with Birth Pulse and Continuous Vaccination
摘要
Abstract
A class of time⁃delay infectional disease system with birth pulse and continuous vaccination was estab⁃lished by considering the coexistence of multi⁃infectious diseases. The disease⁃free periodic solution of the system was obtained by using the stroboscopic map method. By means of the theory on delay functional equation and impulsive dif⁃ferential equation, it was proved that the disease⁃free periodic solution is globally attractive if the critical value R ∗<1.关键词
脉冲出生/连续接种/时滞/全局渐近稳定Key words
birth pulse/continuous vaccination/time delay/global asymptotic stability分类
数理科学引用本文复制引用
杨金根,杨艳华,范欢欢..具脉冲出生和连续接种的时滞传染病模型稳定性分析[J].信阳师范学院学报（自然科学版）,2016,29(3):324-327,4.基金项目
国家自然科学基金项目（11301453）；河南省自然科学基金项目（132300410347）；信阳农林学院青年教师项目 （）
