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一类带有饱和感染率的时滞SIR传染病模型研究（英文）
  • 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：O175.1[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：The National Natural Science Foundation of China(10771179);the Scientific and Technological Project of Henan Province(092102210070);the Youth Science Foundations of Xinyang Normal University(20100070);the Young Backbone Teacher Foundation of the Education Department of Henan Province(2010GGJS-104)and Xinyang Normal University
作者： 王霞[1], 郭红涛[1]
关键词： SIR传染病模型, 时滞, 平衡点, 稳定性, Lyapunov函数, SIR epidemic model, delay, equilibrium, stability, Lyapunov function.
中文摘要：

介绍一类带有饱和感染率的时滞SIR传染病模型,通过构造Lyapunov函数,研究了该模型平衡点的局部稳定性以及时滞对基本再生数的影响.

英文摘要：

A delayed SIR epidemic model with saturated rate is introduced. The local stabilities of its equilibria as well as the effects of delay on the reproduction number of the model are studied by constructing Lyapunov function.

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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