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. DOI: 10.3969/j.issn.1003-0972.2016.03.004
引用本文: 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. DOI: 10.3969/j.issn.1003-0972.2016.03.004
YANG Jingen , YANG Yanhua , FAN Huanhuan . Stability Analysis of a Delayed Epidemic Model with Birth Pulse and Continuous Vaccination[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(3): 324-327. DOI: 10.3969/j.issn.1003-0972.2016.03.004
Citation: YANG Jingen , YANG Yanhua , FAN Huanhuan . Stability Analysis of a Delayed Epidemic Model with Birth Pulse and Continuous Vaccination[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(3): 324-327. 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: 考虑多种传染病并存,建立了一类具脉冲出生和连续接种的时滞传染病系统.利用频闪映射方法,得到了系统的无病周期解.运用脉冲时滞微分方程理论,证明了当临界值R∗1时,无病周期解是全局吸引的.

     

    Abstract: A class of time-delay infectional disease system with birth pulse and continuous vaccination was established 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 differential equation, it was proved that the disease-free periodic solution is globally attractive if the critical value R<1. 

     

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