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一类脉冲接种时滞SEIRS传染病模型的动力学分析(英文) 被引量:1

Dynamical Analysis for an Impulsive Vaccination Delayed SEIRS Epidemic Model
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摘要 研究了一类脉冲接种和总人口变化的时滞SEIRS传染病模型.结果显示,当R1<1时无病周期解是全局吸引的,当R2>1时疾病是持续的. A delayed SEIRS epidemic model with impulsive vaccination and varying total population size was studied.The results show that there exists an infection-free periodic solution which is globally attractive if R11,and the disease is permanent if R21.
作者 赵中 陈莹
出处 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2012年第2期146-150,共5页 Journal of Xinyang Normal University(Natural Science Edition)
基金 National Natural Science Foundation of China(10971001) Natural Science Foundation of Henan Province(112300410047)
关键词 脉冲接种 周期解 全局吸引 持续 impulsive vaccination time delay global attractivity permanence
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参考文献4

  • 1Gao S J,Chen L S,Nieto J.Analysis of a delayed epidemic model with pulse vaccination and saturation incidence[J].Vaccine,2006,24:6037-6045.
  • 2Meng X Z,Chen L S,Chen L D.Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination[J].Appl Math Comput,2007,186:516-529.
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