| 一类新的含有垂直传染与脉冲免疫的SIR传染病模型的定性分析 |
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| 引用本文： | 赵文才. 一类新的含有垂直传染与脉冲免疫的SIR传染病模型的定性分析[J]. 山东大学学报(理学版), 2009, 44(5): 67-73 |
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| 作者姓名： | 赵文才 |
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| 作者单位： | 山东科技大学理学院; |
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| 基金项目： | 山东科技大学“春蕾计划”基金资助项目(2008BWZ076) |
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| 摘 要： | 建立一类具有饱和传染率的脉冲免疫接种SIR模型,结合具有常数移民和垂直传染的情况对模型进行分析研究,得到无病周期解,给出此周期解的全局稳定性分析，并获得系统一致持续生存的条件。
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| 关 键 词： | 垂直传染 脉冲免疫接种 周期解 全局渐近稳定性 持久性 |
| 收稿时间： | 2008-12-02 |
Global qualitative analysis of a new SIR epidemic disease model with vertical transmission and pulse vaccination |
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| ZHAO Wen-cai. Global qualitative analysis of a new SIR epidemic disease model with vertical transmission and pulse vaccination[J]. Journal of Shandong University, 2009, 44(5): 67-73 |
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| Authors: | ZHAO Wen-cai |
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| Affiliation: | College of Science;Shandong University of Science and Technology;Qingdao 266510;Shandong;China |
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| Abstract: | An SIR epidemic disease model with saturated incidence rate and pulse vaccination is constructed.Based on analysis of the model in constant recruitment and vertical transmission conditions,an infection-free periodic solution is obtained,and the analysis of global stability of the infection-free periodic solution is given.Also,the sufficient condition for permanence of the system is obtained. |
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| Keywords: | vertical transmission pulse vaccination periodic solution global asymptotic stability permanence |
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