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一类带有漏隙的疫苗的年龄结构SIR流行病模型

An age-structured SIR epidemic model with leaky vaccination
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摘要 在考虑接种疫苗的对象(含新生儿)和疫苗效能问题的基础上,建立了一类带有漏隙的疫苗的年龄结构SIR流行病模型,得到了无病平衡点和地方病平衡点存在的条件及无病平衡点局部稳定性的条件. An age-structured SIR epidemic model with leaky vaccination is modeled in this paper, basing on analysis to vaccination subject（including newborns） and vaccination strategy with the vaccine efficacy, we derive the conditions ot the existence of the disease-free equilibrium and endemic equilibrium, as well as that of the locally asymptotical stability of the disease-free equilibrium.
作者 郭淑利 郭红建
机构地区 信阳师范学院数学系
出处 《商丘师范学院学报》 CAS 2007年第3期30-34,共5页 Journal of Shangqiu Normal University
基金 河南省自然科学基金(0312002000)资助项目
关键词 年龄结构SIR流行病模型 种痘 平衡点 稳定性 age-structured SIR epidemic model vaccination equilibrium stability
分类号 O175.2 [理学—基础数学]
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参考文献9

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商丘师范学院学报
2007年 第3期

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