| 具Gilpin-Ayala模型的正解唯一性与周期吸引性 |
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| 引用本文： | 张俊杰,马满军.具Gilpin-Ayala模型的正解唯一性与周期吸引性[J].湖南文理学院学报(自然科学版),2012(1):7-10. |
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| 作者姓名： | 张俊杰 马满军 |
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| 作者单位： | 南华大学数理学院;中国计量学院理学院 |
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| 摘 要： | 利用上下解原理、最大值原理及分析技巧,研究了一类具有驱动扩散的Gilpin-Ayala模型,获得该模型正解的存在唯一性,以及周期吸引性的充分条件.
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| 关 键 词： | 上下解原理 最大值原理 一致椭圆性 |
Uniqueness and attractance of positive periodic solutions in Gilpin-Ayala |
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| ZHANG Jun-jie,MA Man-jun.Uniqueness and attractance of positive periodic solutions in Gilpin-Ayala[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2012(1):7-10. |
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| Authors: | ZHANG Jun-jie MA Man-jun |
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| Institution: | 1 School of Mathematics and Physics,University of South China,Hengyang 421001,China;2 College of Sciences,China Jiliang University,Hangzhou 310018,China) |
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| Abstract: | This paper is devoted to the study Gilpin-Ayala model with driven diffusion by applying the method of upper and lower solution and the maximum principle and other analytical techniques.Existence and uniqueness of positive solutions and sufficient conditions for the attractivity of positive periodic of this model are obtained. |
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| Keywords: | the method of upper and lower solution the maximum principle uniformly elliptic |
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