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脉冲接种作用下具有时滞的传染病模型分析
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]山东科技大学理学院,山东青岛266510, [2]莱芜职业技术学院计算机系,山东莱芜271100
  • 相关基金：国家自然科学基金资助项目（10771179）; 山东省软科学计划项目（2009RKB153）; 青岛市科技计划项目（KZJ-46）; 山东科技大学“群星计划”项目（QX0801030）
作者： 赵文才[1], 李玉新[2], 孟新柱[1]
关键词： 时滞, 脉冲免疫接种, 垂直传染, 全局吸引性, 持久性, Delay, Impulsive vaccination, Vertical transmission, Global attractivity, Permanence
中文摘要：

本文建立了一类具有潜伏期和免疫期的双时滞SEIRS传染病模型,在脉冲免疫接种和垂直传染条件下,分析了其全局动力学行为.利用频闪映射,获得了无病周期解,给出了此周期解的全局吸引性,并获得了系统一致持续生存的条件.

英文摘要：

In this paper,a SEIRS epidemic model with two delays of latent period and immune period is formulated,and the global dynamics behaviors of the model under impulsive vaccination and vertical transmission are analyzed.By use of the stroboscopic map,an ＇infection-free＇ periodic solution is obtained,and the global attractivity of the ＇infection-free＇ periodic solution is given.Furthermore,the sufficient condition for permanence of the system is obtained.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
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  • 被引量:4139