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一类具有非单调感染率的时滞传染病模型的全局稳定性（英文）
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 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：Supported by the National Natural Science Foundation of China（10771179）; The Scientific and Technological Project of Henan Province（092102210070）; The Youth Science Foundation of Xinyang Normal University（20100070）; The Young Backbone Teacher Foundation of Xinyang Normal University
作者： 王霞[1], 宋新宇[1]
关键词： 传染病模型, 时滞, 非单调感染率, 全局稳定性, Epidemic model, Time delay, Non-monotonic incidence, Global stability
中文摘要：

通过构造Lyapunov函数研究了一类具有非单调感染率的时滞传染病模型,并证明了该模型的无病平衡点和地方性平衡点的全局稳定性.

英文摘要：

In this paper,we study a delayed epidemic model with non-monotone incidence rate.By using Lyapunov function,it is showed that the disease-free equilibrium and the endemic equilibrium are globally asymptotically stable whenever they exist.

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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