| 具有脉冲出生和脉冲接种的SIR传染病模型 |
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| 引用本文： | 朱玑,李维德,朱凌峰.具有脉冲出生和脉冲接种的SIR传染病模型[J].生物数学学报,2011(3):490-496. |
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| 作者姓名： | 朱玑 李维德 朱凌峰 |
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| 作者单位： | 兰州大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金(40930533)资助 |
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| 摘 要： | 考虑了脉冲出生、脉冲接种、垂直传染、因病死亡等因素,建立了脉冲出生和脉冲接种同时进行的SIR传染病模型,通过分析无病周期解的存在性以及稳定性,得出疾病灭绝的条件.
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| 关 键 词： | 脉冲出生 脉冲接种 基本再生数 垂直感染 传染病模型 |
An SIR Epidemic Model with Birth Pulse and Pulse Vaccination |
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| ZHU Ji LI Wei-de ZHU Ling-feng.An SIR Epidemic Model with Birth Pulse and Pulse Vaccination[J].Journal of Biomathematics,2011(3):490-496. |
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| Authors: | ZHU Ji LI Wei-de ZHU Ling-feng |
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| Institution: | ZHU Ji LI Wei-de ZHU Ling-feng (School of Mathematics and Statistics,Lanzhou University,Lanzhou Gansu 730000 China) |
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| Abstract: | Birth pulse,pulse vaccination,vertical transmission and other factors are considered in this paper.An SIR epidemic model with birth pulse and pulse vaccination happening in the same time is established.By analyzing the existence and stability of the disease-free periodic solution,the sufficient condition of disease dying out is obtained. |
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| Keywords: | Birth pulse Pulse vaccination Basic reproduction number Vertical transmission Epidemic model |
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