| 带遗传效应的单种群模型的稳定周期解 |
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| 引用本文： | 陈伯山 刘永清. 带遗传效应的单种群模型的稳定周期解[J]. 应用数学, 1999, 12(1): 42-46 |
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| 作者姓名： | 陈伯山 刘永清 |
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| 作者单位： | 华南理工大学自动控制工程系 |
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| 摘 要： | 本文考察描述种群变化模型的无穷延滞周期微分方程，得到了稳定正周期解存在唯一性的充分性条件．与早期有关工作不同的是，作者利用了这类方程本身特有的解关于初值混合单调的性质．
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| 关 键 词： | 时滞微分方程；周期解；存在唯一性；稳定性 |
On the Stable Periodic Solutions of Single Sepias Molds with Hereditary Effects |
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| Chen Boshan Liu Yongqing. On the Stable Periodic Solutions of Single Sepias Molds with Hereditary Effects[J]. Mathematica Applicata, 1999, 12(1): 42-46 |
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| Authors: | Chen Boshan Liu Yongqing |
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| Abstract: | In this paper,we consider the scalar periodic differential equations with finite and infinite delay,which arises in models for the variation of the population.The sufficient condition are establiished for the existence and uniqueness of the stable positive periodic solution for the equations,using mixed monotone technique. |
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| Keywords: | Delay differential equation Perioic solution Existence and uniqueness Stability |
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