| 一类具反馈控制和时滞阶段结构抛物系统的稳定性 |
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| 引用本文： | 谭飞. 一类具反馈控制和时滞阶段结构抛物系统的稳定性[J]. 苏州大学学报(医学版), 2007, 23(4): 24-29 |
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| 作者姓名： | 谭飞 |
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| 作者单位： | 淮海工学院数理科学系,江苏连云港222005 |
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| 摘 要： | 研究一类具反馈控制和时滞阶段结构的抛物系统，对相应的线性化算子进行了谱分析，给出了正平衡点的局部稳定性；运用上下解方法及相应的单调迭代序列研究其动力学行为，得到正平衡点渐近稳定的充分条件．
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| 关 键 词： | 抛物系统 反馈控制 时滞 阶段结构 稳定性 |
| 文章编号： | 1000-2073（2007）04-0024-06 |
| 收稿时间： | 2007-04-24 |
| 修稿时间： | 2007-07-24 |
The stability of a delayed stage-structured parabolic system with feedback controls |
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| Tan Fei. The stability of a delayed stage-structured parabolic system with feedback controls[J]. Journal of Suzhou University(Natural Science), 2007, 23(4): 24-29 |
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| Authors: | Tan Fei |
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| Abstract: | A delayed stage-structured parabolic system is discussed, the local asymptotical stabilities are given using spectral analysis of the corresponding linearized operator; the dynamics of the system is investigated using upper and lower solutions and the associated monotone iterations, and sufficient conditions are obtained for the asymptotic stability of the positive equilibrium of the model. |
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| Keywords: | parabolic system feedback controls time delay stage structure stability |
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