| 一类具有脉冲效应和垂直传染的SIR传染病模型的分析 |
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| 引用本文： | 贾建文,韩思远.一类具有脉冲效应和垂直传染的SIR传染病模型的分析[J].数学的实践与认识,2007,37(24):96-101. |
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| 作者姓名： | 贾建文 韩思远 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西,临汾,041004 |
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| 摘 要： | 建立并分析了一类具有脉冲预防接种的垂直传染的SIR传染病模型,给出了系统解的一致有界性及无病周期解的存在的充分条件,根据Floquer乘子理论及脉冲微分不等式,证明了无病周期解的局部稳定性及全局渐近稳定性.
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| 关 键 词： | 脉冲 垂直传染 周期解 Floquer乘子理论 |
| 修稿时间： | 2006年7月6日 |
On the Analysis of A Class of SIR Model with Impulsive Effect and Vertical Infection |
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| JIA Jian-wen,HAN Si-yuan.On the Analysis of A Class of SIR Model with Impulsive Effect and Vertical Infection[J].Mathematics in Practice and Theory,2007,37(24):96-101. |
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| Authors: | JIA Jian-wen HAN Si-yuan |
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| Abstract: | A class of SIR model with impulsive effect and vertical infection is proposed and analyzed.Then we establish sufficent criteria for the boundedness of solutions,the existence of disease-free periodic solution.Furthermore,its local stbility and global asymptotic stability are given by Floquet theorem and comparsion theoerm,respectively. |
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| Keywords: | impulsive effect verticalinfection periodic solution Floquet theorem |
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