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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 被引量：2

Global qualitative analysis of a new SIR epidemic disease model with vertical transmission and pulse vaccination
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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。 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.
作者 赵文才
机构地区 山东科技大学理学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2009年第5期67-73,共7页 Journal of Shandong University(Natural Science)
基金 山东科技大学"春蕾计划"基金资助项目(2008BWZ076)
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 vertical transmission pulse vaccination periodic solution global asymptotic stability permanence
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献9

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共引文献37

同被引文献11

  • 1Guimng Jiang, Qigui Yang. Bifrcation analysis in an SIR epidemic model with birth pulse and pulse vaeeination[J]. Applied Mathematics and Computation, 2009, 215 : 1035 - 1046. R.
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  • 6Zhang Xiao-Bing,Huo Hai-Feng,Xiang Hong,et al.An SIRS epdemic model with pulse vaccination and non-monotonic incidence rate[J].Nonlinear Analysis:Hybrid Systems,2013,8:13-21.
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  • 9裴永珍,刘少英,李长国,高淑京.具有多时滞和垂直传染的脉冲接种流行病模型[J].数学年刊（A辑）,2009,30(5):669-676. 被引量：2
  • 10鹿鹏,蒋贵荣,郝丽杰.具有脉冲出生及垂直传染的SIS传染病模型的分岔分析[J].桂林电子科技大学学报,2013,33(1):56-60. 被引量：1

引证文献2

二级引证文献6

山东大学学报（理学版）
2009年 第5期

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