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非线性高维自治微分系统SEIQR流行病模型全局稳定性
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学] O175.13[理学—数学;理学—基础数学]
  • 作者机构：[1]西安交通大学理学院,西安710049, [2]新疆大学数学与系统科学学院,乌鲁木齐830046
  • 相关基金：国家自然科学基金重点项目（10531030;10371097）;“十五”国家医学科技攻关项目（2004BA719A01）
作者： 徐文雄[1], 张太雷[2], 徐宗本[1]
关键词： 流行病, 数学模型, 阈值, 基本再生数, 非线性, 高维自治微分系统, 全局稳定性, epidemic, mathematical model, threshold, basic reproductive number, nonlinearity, high dimensional differential system, global stability
中文摘要：

研究具有隔离仓室及饱和接触率的非线性高维自治微分系统SEIQR流行病传播数学模型，得到疾病绝灭与否的阈值一基本再生数冠），证明了无病平衡点和地方病平衡点的存在性及全局渐近稳定性，揭示了隔离对疾病控制的积极作用，推广了已有的研究结果。

英文摘要：

A kind of non-linear high dimensional autonomous differential system, SEIQR epidemic model with saturated contact rate, containing quarantine is studied. The threshold, basic reproductive number which determines whether a disease is extinct or not, is obtained. The existences and global stabilities of the disease-free equilibrium and the endemic equilibrium are solved and active effects of quarantine are exposed. The results which have been researched are extended.

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期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
  • 获奖情况:
  • 《中文核心期刊要目总览》核心期刊,《中国科学引文数据库》核心期刊,《中国数学文摘》核心期刊,陕西省优秀科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,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（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6741