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具有时变接触率与接种率的脉冲传染病模型研究
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]江西省数值模拟与仿真技术重点实验室赣南师范学院,江西赣州341000
  • 相关基金：国家自然科学基金资助项目（10971037）,江两省教育厅科技项目（GJJll583）,江西省自然科学基金资助项目（2（）114BAB201013）,江西省教育厅科技计划项目青年基金（G.]J12576）,赣南师范学院研究生创新基金（YCX108008）
作者： 吕恒民[1], 高淑京[1]
关键词： 时变接触率, 脉冲, 传染病模型, 基本再生数, Time-varying contact rate , Pulse , Epidemic model , Basic reproductionuunlber
中文摘要：

讨论了时变接触率和时变接种率的传染病模型，模型中考虑对易感者和染病者同时接种．通过计算得到了判别疾病流行与否的闽值．证明了当基本再生数小于1时，疾病是流行的；当基本再生数大于1时，疾病将成为地方病．

英文摘要：

Ill lhis paper, an impulsive epidemic model with time-varying contact rate and wlccination rate is proposed, in which both susceptible and intbcted population are vaecirmted si- multaneously. By calculation, the basic reproduction number is given to determinate wh（,ther the disease will be epidemic or not. Moreover, it is illustrated that if the basic reproduction number is less than unit, the disease will be extinct, whereas if the basic reproduction number is greater than unit. the disease will be endemic.

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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