| 一类带脉冲接种和脉冲剔除的SIR传染病模型的稳定性态 |
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| 引用本文： | 张珍,靳祯.一类带脉冲接种和脉冲剔除的SIR传染病模型的稳定性态[J].太原师范学院学报(自然科学版),2006,5(4):8-10. |
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| 作者姓名： | 张珍 靳祯 |
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| 作者单位： | 中北大学,理学院数学系,山西,太原,030051 |
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| 基金项目： | 国家自然科学基金;山西省自然科学基金 |
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| 摘 要： | 文章研究了一类具有脉冲接种和脉冲剔除的SIR传染病模型的动力学性态．应用Floquet定理研究了无病周期解的局部稳定性，通过脉冲微分不等式证明了其全局渐近稳定性．
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| 关 键 词： | 传染病模型 脉冲接种 脉冲剔除 稳定性 |
| 文章编号： | 1672-2027（2006）04-0008-03 |
| 收稿时间： | 2006-10-17 |
| 修稿时间： | 2006-10-17 |
Stability Properties in an SIR Epidemic Model With Pulse Vaccination and Pulse Elimination |
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| Zhang Zhen,Jin Zhen.Stability Properties in an SIR Epidemic Model With Pulse Vaccination and Pulse Elimination[J].Journal of Taiyuan Normal University:Natural Science Edition,2006,5(4):8-10. |
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| Authors: | Zhang Zhen Jin Zhen |
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| Institution: | Department of Mathematics, North University of China, Taiyuan 030051, China |
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| Abstract: | An SIR epidemic model with pulse vaccination and pulse elimination is considered in this paper. By using the Floquet theory we prove the infection-free periodic solution is local stable,and by impulsive differential inequality we show the infection-free periodic solution is also globally asymptotically stable. |
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| Keywords: | epidemic model pulse vaccination pulse elimination stability |
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