| 带脉冲免疫和时滞的传染病模型分析 |
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| 引用本文： | 杨金根,许庆涛.带脉冲免疫和时滞的传染病模型分析[J].信阳师范学院学报(自然科学版),2012(1):20-23. |
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| 作者姓名： | 杨金根 许庆涛 |
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| 作者单位： | 信阳师范学院数学与信息科学学院;安阳市第三中学 |
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| 基金项目： | 国家自然科学基金资助项目(10771179) |
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| 摘 要： | 研究一类带脉冲免疫和时滞的传染病模型.运用脉冲微分方程和积分方程的理论和方法,得到了系统的无病周期解,并证明了当阈值小于1即R*<1时,系统的无病周期解是全局吸引的.
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| 关 键 词： | 脉冲免疫 时滞 全局吸引 |
Analysis of an Epidemic Model with Impulsive Vaccination and Delay |
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| YANG Jin-gen,XU Qing-tao.Analysis of an Epidemic Model with Impulsive Vaccination and Delay[J].Journal of Xinyang Teachers College(Natural Science Edition),2012(1):20-23. |
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| Authors: | YANG Jin-gen XU Qing-tao |
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| Institution: | 1. College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China;2. The Third Middle School of Anyang, Anyang 455000, China) |
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| Abstract: | An epidemic model with impulsive vaccination and delay was described. The explicit formula of the disease-free periodic solution was obtained by using the theory and the method of impulsive differential equation and integral equation. The results demonstrated that the disease-free periodic solution is a global attractor if R*<1. |
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| Keywords: | impulsive vaccination delay global attractor |
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