| 具有脉冲接种流行病模型的周期解稳定性 |
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| 引用本文： | 孟晓伟,张勇,王建中.具有脉冲接种流行病模型的周期解稳定性[J].华北工学院学报,2005,26(4):239-242. |
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| 作者姓名： | 孟晓伟 张勇 王建中 |
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| 作者单位： | 中北大学数学系,山西太原030051 |
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| 摘 要： | 利用动力系统和脉冲微分方程基本理论，分析了具有脉冲预防接种且传染率是标准的SIR传染病模型，给出了SIR传染病模型基本再生数，证明了无病周期解的存在性和全局渐近稳定性．
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| 关 键 词： | 脉冲微分方程 周期解 基本再生数 全局稳定性 脉冲接种 |
| 文章编号： | 1006-5430（2005）04-0239-04 |
| 收稿时间： | 2005-04-15 |
The Stability of Periodic Solution to Epidemic Models with Impulsive Vaccinations |
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| Meng XiaoWei;Zhang Yong;Wang JianZhong.The Stability of Periodic Solution to Epidemic Models with Impulsive Vaccinations[J].Journal of North China Institute of Technology,2005,26(4):239-242. |
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| Authors: | Meng XiaoWei;Zhang Yong;Wang JianZhong |
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| Abstract: | Utilizing dynamical system and basic theories of impulsive differential equation, we analyze the SIR epidemical model with impulsive vaccinations in which the incidence term is standard, we give out a basic reproduction number corresponding to those models and prove the existence and global stability of the disease-free periodic solution, |
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| Keywords: | impulsive differential equations periodic solution basic reproductive number global asymptotic stability impulsive vaccination |
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