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一类带有ATL反应和治愈率的传染病模型的全局稳定性研究
  • 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, [2]信阳农业高等专科学校,河南信阳464000
  • 相关基金：Supported by the National Natural Science Foundation of China （10771179）, the Natural Science Foundation of the Education Department of Henan Province （2010Bl10021）, and tile Backbone Youth teacher Foundation of Xinyang Normal University.
作者： 王霞[1], 刘夏斐[2], 宋新宇[1]
关键词： 全局稳定性, ATL反应, 周期轨道, LYAPUNOV函数, Global stability, ATL progression, Periodic orbits, Lyapunov function
中文摘要：

主要介绍一类具有饱和传染率和治愈率的ATL反应的病毒模型，通过稳定性分析，得到了地方病平衡态的全局稳定的条件.

英文摘要：

In this paper, we investigate an epidemic model for ATL progression with saturation response of the infection rate and cure rate. By stability analysis we obtain the condition for the property of stability of the unique endemically infected steady-state.

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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:
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  • 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