| 饱和型感染率脉冲接种SIRS的模型分析 |
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| 引用本文： | 刘金伟.饱和型感染率脉冲接种SIRS的模型分析[J].新乡学院学报(自然科学版),2008(4):13-14. |
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| 作者姓名： | 刘金伟 |
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| 作者单位： | 新乡学院数学系,河南新乡453003 |
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| 摘 要： | 研究了具有饱和接触率、常数输入、指数死亡以及暂时免疫和脉冲接种的SIRS模型，利用频闪映射、脉冲不等式等理论．得到了无病周期解全局渐进稳定的结论。
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| 关 键 词： | 饱和接触率 无病周期解 渐近稳定 脉冲接种 |
An SIRS Model With Impulsive Vaccination and Saturation Incidence Rate |
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| Authors: | LIU Jin-wei |
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| Institution: | LIU Jin-wei (Department of Mathematics, Xinxang University, Xinxiang 453003, China) |
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| Abstract: | An SIRS epidemic model with constant of recruitment, exponential physical disease,temporary immunity and pulse vaccination is formulated. Using stroboscopic map and impulse differential inequalities, we show that there exit infection-free periodic solutions and prove the infection-free periodic solutions is asymptotically stable. |
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| Keywords: | saturation incidence rate infection-free periodic solutions asymptotically stable pulse vaccination |
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