| 具有年龄结构和常数迁移率的SIR模型 |
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| 引用本文： | 苏细容,刘胜. 具有年龄结构和常数迁移率的SIR模型[J]. 西北师范大学学报(自然科学版), 2010, 46(3): 6-9 |
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| 作者姓名： | 苏细容 刘胜 |
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| 作者单位： | 北京林业大学理学院,北京,100083 |
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| 摘 要： | 建立了具有年龄结构和常数迁移率的SIR模型,并研究了该模型的有关性态.得到了基本再生数R0的表达式,证明了当R01时,系统存在唯一全局渐近稳定的无病平衡态;当R01时,系统存在地方病平衡态,并且在地方病平衡态处的线性化系统的特征方程无非负实根.
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| 关 键 词： | SIR模型 年龄结构 常数迁移率 基本再生数 稳定性 |
The age-structured SIR model with constant immigration |
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| SU Xi-rong,LIU Sheng. The age-structured SIR model with constant immigration[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2010, 46(3): 6-9 |
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| Authors: | SU Xi-rong LIU Sheng |
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| Affiliation: | SU Xi-rong,LIU Sheng(School of Science,Beijing Forestry University,Beijing 100083,China) |
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| Abstract: | This paper establishes an age-structured SIR model with constant immigration,and the character of the model is studied.The expression of the reproductive number R0 is obtained.When R0 is less than one,it is proved that the disease-free equilibrium exists uniquely and it is global asymptotically stable.When R0 is above one,it is proved that the endemic equilibrium exist,and the characteristic equation of the linearized system at the endemic equilibrium has no nonnegative real root. |
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| Keywords: | SIR model age-structured constant immigration reproductive number stability |
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