| 具有脉冲预防接种的SIQR流行病数学模型 |
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| 引用本文： | 周艳丽,王贺桥,王美娟,徐长永.具有脉冲预防接种的SIQR流行病数学模型[J].上海理工大学学报,2007,29(1):11-16. |
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| 作者姓名： | 周艳丽 王贺桥 王美娟 徐长永 |
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| 作者单位： | 1. 上海理工大学,医疗器械学院,上海,200093
2. 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 讨论了一类具有脉冲预防接种且传染率为双线性的SIQR传染病模型.在脉冲预防接种下,分析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： | 预防接种 脉冲微分方程 基本再生数 周期解 全局渐近稳定性 |
| 文章编号： | 1007-6735（2007）01-0011-06 |
| 修稿时间： | 2005-12-07 |
SIQR epidemical model with impulsive vaccination |
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| ZHOU Yan-li,WANG He-qiao,WANG Mei-juan,XU Chang-yong.SIQR epidemical model with impulsive vaccination[J].Journal of University of Shanghai For Science and Technology,2007,29(1):11-16. |
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| Authors: | ZHOU Yan-li WANG He-qiao WANG Mei-juan XU Chang-yong |
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| Institution: | 1. College of Medical Instrumentation, University of Shanghai for Science and Technology, Shanghai 200093, China ; 2. Colloge of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | A SIQR model for spread of infectious disease in a population with impulsive vaccination is discussed.The reproduction number for the model is obtained,and the existence and global stability of the disease-free periodic solution are analysed. |
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| Keywords: | vaccination impulsive differential equations basic reproduction number periodic solution global asymptotic stability |
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