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一类具有时滞和阶段结构的SIS传染病模型的稳定性与持久性
  • 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]军械工程学院应用数学研究所,河北石家庄050003
  • 相关基金：国家自然科学基金资助项目（10671209）
作者： 田晓红[1], 徐瑞[1]
关键词： 时滞, 阶段结构, 标准发生率, 稳定性, 持久性, Time delay, Stage-structure, Standard incidence, Stability, Permanence
中文摘要：

研究一类具有时滞和阶段结构的SIS传染病模型．通过分析特征方程，讨论了系统平衡点的局部稳定性，根据比较定理讨论了无病平衡点的全局稳定性，并证明了当地方病平衡点存在时系统是一致持续生存的．

英文摘要：

In this paper, an SIS epidemic model with time delay and stage structure is studied. By analyzing the corresponding characteristic equation, the local stability of each of feasible equilibria of the model is established. By using the comparisons argument, the global stability of the disease free equilibrium of the model is discussed. Furthermore, it is proved that the system is uniformly persistent when the endemic equilibrium is feasible.

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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