| 在脉冲免疫和脉冲隔离作用下的SIQR模型全局分析 |
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| 引用本文： | 王彩云,贾建文.在脉冲免疫和脉冲隔离作用下的SIQR模型全局分析[J].山西师范大学学报,2007,21(3):18-22. |
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| 作者姓名： | 王彩云 贾建文 |
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| 作者单位： | [1]山西师范大学数学与计算机科学学院,山西临汾041004 [2]忻州师范学院数学系,山西忻州034000 |
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| 摘 要： | 本文讨论了在脉冲免疫和脉冲隔离作用下的SIQR模型．假定在每次免疫期有m次脉冲隔离发生，利用脉冲微分方程解的比较定理^1]证明了无病周期解在一定条件下是全局渐近稳定的．
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| 关 键 词： | 脉冲免疫 脉冲隔离 全局稳定性 |
| 文章编号： | 1009-4490(2007)03-0018-05 |
| 修稿时间： | 2007-05-11 |
Global Analysis of an SEIQR Model with the Exposed Individuals Quarantined |
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| WANG Cai-yun,JIA Jian-wen.Global Analysis of an SEIQR Model with the Exposed Individuals Quarantined[J].Journal of Shanxi Teachers University,2007,21(3):18-22. |
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| Authors: | WANG Cai-yun JIA Jian-wen |
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| Abstract: | An SIQR epidemic model with impulsive quarantine and impulsive vaccination is studied, and global stability of the disease-free periodic solution of this model is proved under certain condition by means of impulsive differential equations theorem and comparison theorem, on the hypothesis that there are m times impul- ses of quarantine during the immune period. |
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| Keywords: | impulsive vaccination impulsive quarantine global stability |
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