| 具常数输入及饱和发生率的脉冲接种SIQRS传染病模型 |
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| 引用本文： | 徐为坚.具常数输入及饱和发生率的脉冲接种SIQRS传染病模型[J].系统科学与数学,2010,30(1):043-052. |
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| 作者姓名： | 徐为坚 |
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| 作者单位： | 玉林师范学院数学与计算机科学系,广西,537000 |
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| 基金项目： | 广西自然科学基金项目，广西教育厅科研项目，玉林师范学院高层次人才科研启动基金联合资助 |
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| 摘 要： | 研究了具有常数输入及饱和发生率的脉冲接种SIQRS传染病模型,得到了疾病消除与否的阈值R_0=1.证明了当R_01时,系统存在全局渐近稳定的无病周期解;当R_01时,系统一致持久.
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| 关 键 词： | 隔离措施 脉冲接种 全局渐近稳定 无病周期解 一致持久. |
| 收稿时间： | 2008-4-28 |
| 修稿时间： | 2008-8-19 |
THE SIQRS EPIDEMIC MODEL OF IMPULSIVE VACCINATION WITH CONSTANT INPUT AND SATURATION INCIDENCE RATE |
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| XU Weijian.THE SIQRS EPIDEMIC MODEL OF IMPULSIVE VACCINATION WITH CONSTANT INPUT AND SATURATION INCIDENCE RATE[J].Journal of Systems Science and Mathematical Sciences,2010,30(1):043-052. |
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| Authors: | XU Weijian |
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| Institution: | Department of Mathematics and Computer Science, Yulin Normal University, Guangxi 537000 |
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| Abstract: | This paper deals with the SIQRS epidemic model of impulsive vaccination with constant input and saturation incidence rate, and the threshold value $R_{0}=1$ is obtained at which disease is eliminated. It is proved that when $R_{0}<1$, the disease-free periodic solution is globally asymptotically stable, and that when $R_{0}>1$, the system is uniformly persistent. |
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| Keywords: | Isolation measure impulsive vaccination global asymptotic stability disease-free periodic solution uniform persistence |
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