| 具脉冲出生和连续接种的时滞传染病模型稳定性分析 |
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| 作者单位： | ;1.信阳师范学院数学与信息科学学院;2.信阳农林学院信息工程学院 |
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| 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.
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| 关 键 词： | 脉冲出生 连续接种 时滞 全局渐近稳定 |
Stability Analysis of a Delayed Epidemic Model with Birth Pulse and Continuous Vaccination |
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| Institution: | ,College of Mathematics and Information Science, Xinyang Normal University,Information Engineering College, Xinyang College of Agriculture and Forestry |
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| 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 wasobtained 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 valueR *<1. |
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| Keywords: | birth pulse continuous vaccination time delay global asymptotic stability |
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