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一类带有脉冲免疫TB模型的稳定性分析
  • ISSN号：1003-0972
  • 期刊名称：《信阳师范学院学报：自然科学版》
  • 时间：0
  • 分类：O175.13[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000
  • 相关基金：National Natural Science Foundation of China（10971178）; NSF of Henan Province（092300410206）; NFS of Education Department of Henan Province（2009A110015）
作者： 柳合龙[1], 郭淑利[1]
关键词： TB模型, 感染年龄, 脉冲免疫, 全局稳定, TB model, infection-age, impulsive vaccination, global attractor
中文摘要：

根据肺结核具有感染年龄的传播特点,建立了带感染年龄和脉冲接种的SEIV模型,得到了无病周期解全局稳定的条件.该条件说明,适当小的脉冲周期和适当大的免疫比例可根除肺结核.

英文摘要：

An impulsive vaccination strategy to eradicate tuberculosis（TB） is studied by SEIV epidemic model.Since the infection age is an important feature of tuberculosis progression,the infection age is incorporated into the model.The condition for the globally asymptotic stability of the solution is obtained.The condition shows that large enough impulsive vaccination proportion and relatively small impulsive period can lead to the eradication of TB.

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期刊信息
  • 《信阳师范学院学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:信阳师范学院
  • 主办单位:信阳师范学院
  • 主编：刘彦明
  • 地址：河南省信阳市南湖路
  • 邮编：464000
  • 邮箱：xblk@xynu.edu.cn
  • 电话：0376-6393516
  • 国际标准刊号：ISSN：1003-0972
  • 国内统一刊号：ISSN：41-1107/N
  • 邮发代号:36-122
  • 获奖情况:
  • 河南省优秀科技期刊,河南省优秀学报
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国农业与生物科学研究中心文摘,波兰哥白尼索引,德国数学文摘,美国剑桥科学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:5214