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甲型H1N1传染病的最优控制策略
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O23[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]中南大学数学与统计学院,湖南长沙410075
  • 相关基金：国家自然科学基金资助项目（10971229,11271371）
作者： 戴斌祥[1], 李艳红[1]
关键词： 甲型H1N1, Pontryagin最大值原理, 最优控制, HIN1 influenza, Pontryagin maximum principle, Optimal control
中文摘要：

根据甲型H1N1传染病的发病特点和流行规律建立了SEIQR模型，讨论了此类模型的最优控制问题，利用Pontryagin最大值原理给出了最优控制策略对的表达形式．最后运用MATLAB进行数值模拟，说明了所建模型的合理性及最优控制对的有效性．

英文摘要：

In this paper, we build a SEIQR model via HIN1 influenza and study the optimal control problem of this model. By using Pontryagin maximum principle, the form of expression on the optimal controls is obtained. Finally, by applying MATLAB, the numerical simulation results are presented to illustrate the feasibility of the model and the effectiveness of the optimal controls.

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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