| 不同步进行脉冲接种和剔除的SIR模型的动力学性态研究 |
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| 引用本文： | 张珍.不同步进行脉冲接种和剔除的SIR模型的动力学性态研究[J].山西师范大学学报,2012(2):8-11. |
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| 作者姓名： | 张珍 |
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| 作者单位： | 山西大同大学数学与计算机科学学院 |
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| 基金项目： | 山西省高校研究开发项目(20101109);山西大同大学科研项目(2009-Y-15) |
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| 摘 要： | 研究了一类不同步进行脉冲接种和脉冲剔除的SIR模型的动力学性态.通过频闪映射研究了该模型无病周期解的存在性,且应用Floquet定理研究了该解的局部稳定性,由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： | 脉冲接种 脉冲剔除 不同步 |
Stability Properties in an SIR Model with Asynchronous Pulse Vaccination and Pulse Elimination |
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| ZHANG Zhen.Stability Properties in an SIR Model with Asynchronous Pulse Vaccination and Pulse Elimination[J].Journal of Shanxi Teachers University,2012(2):8-11. |
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| Authors: | ZHANG Zhen |
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| Institution: | ZHANG Zhen(School of Mathematics and Computer Science, Shanxi Datong University,Datong 037009,Shanxi,China) |
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| Abstract: | An SIR epidemic model with asynchronous pulse vaccination and pulse elimination is considered in this paper.By the Floquet theory we prove that the infection-free periodic solution is locally stable,and by impulsive differential inequality we show that the infection-free periodic solution is also globally asymptotically stable. |
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| Keywords: | pulse vaccination pulse elimination asynchronous |
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