| 免疫系统Marchuk模型的定性分析 |
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| 引用本文： | 崔诚,王晓,肖莉,刘安平.免疫系统Marchuk模型的定性分析[J].武汉理工大学学报(信息与管理工程版),2012(4):437-440. |
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| 作者姓名： | 崔诚 王晓 肖莉 刘安平 |
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| 作者单位： | 中国地质大学数学与物理学院 |
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| 基金项目： | 中央高校基本科研业务费专项基金资助项目(CUG090112) |
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| 摘 要： | 对含时滞的Marchuk模型在参数满足某些条件下求出了模型方程的上、下解,利用单调方法和Liapunov函数证明了模型方程周期解和几乎周期解的存在性及稳定性。
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| 关 键 词： | Marchuk模型 上、下解 周期解 几乎周期解 稳定性 |
Qualitative Analysis of Marchuk Model in Immune System |
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| CUI Cheng,WANG Xiao,XIAO Li,LIU Anping.Qualitative Analysis of Marchuk Model in Immune System[J].Journal of Wuhan University of Technology(Information & Management Engineering),2012(4):437-440. |
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| Authors: | CUI Cheng WANG Xiao XIAO Li LIU Anping |
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| Affiliation: | Postgraduate;School of Mathematic and Physics,China University of Geosciences,Wuhan 430074,China. |
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| Abstract: | Marchuk model with time delay was discussed.Under the parameters of the model which satisfy some conditions,the upper-lower solutions of this model equations were obtained.The existence and stability of periodic solution and almost periodic solution were investigated by using monotone method,fixed point theorem and Liapunov′s function,respectively. |
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| Keywords: | Marchuk model upper-lower solution periodic solution almost periodic solution stability |
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