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一类媒介-宿主传染病模型的稳定性分析
  • 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[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院,河南信阳464000
  • 相关基金：National Natural Science Foundation of China （10971178） the Program for the Cadreman Youthful Teacher in University of Henan Province（2009）
作者： 蔡礼明[1], 罗庆红[1]
关键词： 媒介-宿主, 全局稳定, 传染病模型, 基本再生数, vector-host global stability epidemic model basic reprodution number
中文摘要：

考虑一类带有混合型发生率的媒介-宿主传染病模型.理论结果显示,基本再生数R0完全确定了模型中平衡态的稳定性.当R0≤1时,无病平衡态是全局渐近稳定的,地方病平衡态不存在;而当R0〉1时,疾病将持续且唯一的地方病平衡态是全局渐近稳定的.

英文摘要：

A kind of vector-host epidemic model with hybridzing incidence is investigated.It is shown that the stability of the equilibria in this model is completely controlled by the basic reproduction number R0.If R0 is less than or equals to one,the disease-free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist.If R0 is greater than one,then the disease persists and the unique endemic equilibrium is globally asymptotically stable.

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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