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一类具有多时滞和非线性发生率的脉冲接种SEIRS传染病模型 被引量：8

A impulsive Vaccination SEIRS epidemic model with multi-delay and nonlinear incidence rate
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摘要 研究脉冲预防接种下具有非线性发生率和带有多个时滞的SEIRS传染病模型的动力学行为,利用比较原理,证明当R*<1时无病周期解的全局吸引性,并给出当R*>1时疾病持续生存的充分条件. The dynamical behavior of SEIRS epidemic model with nonlinear incidence rate and multi-delay was studied in the case of impulsive vaccination.By using the comparison principle,the global attractivity of infection-free periodic solution was verified when R＊1,and a sufficient condition for the permanence of the epidemic was also given for R＊1.
作者 黄灿云 安小峰
机构地区 兰州理工大学理学院
出处 《兰州理工大学学报》 CAS 北大核心 2011年第1期121-125,共5页 Journal of Lanzhou University of Technology
基金 兰州理工大学博士基金(BS10200903)的资助
关键词 SEIRS模型 脉冲接种 时滞 全局吸引性 持久性 SEIRS model impulsive vaccination time delay global attractivity permanence
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献8

  • 1黄灿云,丁红,岳甲龙.斑块环境下具有Holling-Ⅱ的捕食-食饵系统的稳定性[J].兰州理工大学学报,2009,35(3):146-149. 被引量：4
  • 2霍海峰,付强,孙小科,张小兵,向红.一类时滞周期捕食-食饵模型的持久性[J].兰州理工大学学报,2009,35(3):134-138. 被引量：7
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二级参考文献16

  • 1黄灿云,丁红,惠富春.斑块环境下具有Holling-2的捕食-食饵系统的持久性[J].甘肃科学学报,2008,20(4):5-8. 被引量：4
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共引文献8

同被引文献68

  • 1杨金根,李学志,张喜来.带脉冲接种和垂直传染的时滞乙肝模型[J].应用泛函分析学报,2013,15(1):66-71. 被引量：1
  • 2庞海燕,王稳地,王开发.考虑CTL免疫反应的病毒动力学模型的全局稳定性分析(英文)[J].西南师范大学学报（自然科学版）,2005,30(5):796-799. 被引量：24
  • 3朱道军,兰叶霞.具有多时滞捕食-被捕食流行病模型的稳定性[J].安徽大学学报（自然科学版）,2007,31(4):5-8. 被引量：1
  • 4庞国萍,陈兰荪.具饱和传染率的脉冲免疫接种SIRS模型[J].系统科学与数学,2007,27(4):563-572. 被引量：25
  • 5SHULGIN B,STONE L, AGUR Z. Pulse vaccination strategy in the SIR epidemic model [J]. Bulletin of Mathematical Biolo- gy, 1998,60 : 1123-1148.
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引证文献8

二级引证文献10

兰州理工大学学报
2011年 第1期

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