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具有脉冲出生和脉冲接种的SIR传染病模型 被引量：9

An SIR Epidemic Model with Birth Pulse and Pulse Vaccination
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摘要 考虑了脉冲出生、脉冲接种、垂直传染、因病死亡等因素,建立了脉冲出生和脉冲接种同时进行的SIR传染病模型,通过分析无病周期解的存在性以及稳定性,得出疾病灭绝的条件. Birth pulse,pulse vaccination,vertical transmission and other factors are considered in this paper.An SIR epidemic model with birth pulse and pulse vaccination happening in the same time is established.By analyzing the existence and stability of the disease-free periodic solution,the sufficient condition of disease dying out is obtained.
作者 朱玑 李维德 朱凌峰
机构地区 兰州大学数学与统计学院
出处 《生物数学学报》 CSCD 北大核心 2011年第3期490-496,共7页 Journal of Biomathematics
基金 国家自然科学基金(40930533)资助
关键词 脉冲出生 脉冲接种 基本再生数 垂直感染 传染病模型 Birth pulse Pulse vaccination Basic reproduction number Vertical transmission Epidemic model
分类号 O175 [理学—基础数学] Q141 [生物学—生态学]
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参考文献14

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二级参考文献11

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生物数学学报
2011年 第3期

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