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具有脉冲出生和脉冲接种的SIR传染病模型
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学] Q141[生物学—生态学;生物学—普通生物学]
  • 作者机构：[1]兰州大学数学与统计学院,甘肃兰州730000
  • 相关基金：国家自然科学基金（40930533）资助
作者： 朱玑[1], 李维德[1], 朱凌峰[1]
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
中文摘要：

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.

英文摘要：

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.

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期刊信息
  • 《生物数学学报》
  • 北大核心期刊（2008版）
  • 主管单位:中国数学会
  • 主办单位:中国数学会生物数学学会
  • 主编：陈兰荪
  • 地址：辽宁省鞍山师范学院158号
  • 邮编：114007
  • 邮箱：smbjbm@tom.com
  • 电话：0412-2960893
  • 国际标准刊号：ISSN：1001-9626
  • 国内统一刊号：ISSN：34-1071/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:5686