| 时间非均匀介质中两种群竞争格点系统的广义行波 |
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| 引用本文： | 张巧珍.时间非均匀介质中两种群竞争格点系统的广义行波[J].吉林大学学报(理学版),2021,59(5):1031-1044. |
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| 作者姓名： | 张巧珍 |
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| 作者单位： | 南京航空航天大学 数学系, 南京 210016 |
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| 摘 要： | 考虑一般时间非均匀介质中两种群竞争格点系统广义行波的存在性和不存在性问题, 通过建立相关合作系统上下解的比较原理, 并构造其合适的上下解, 证明了当下平均速度大于一个确定的阈值时, 该系统广义行波存在, 并且不存在下平均速度小于此阈值的广义行波.
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| 关 键 词： | 竞争系统 格点系统 广义行波 存在性 |
| 收稿时间： | 2021-02-01 |
Generalized Traveling Waves for Two Species Competitive Lattice Systems in Time Inhomogeneous Media |
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| ZHANG Qiaozhen.Generalized Traveling Waves for Two Species Competitive Lattice Systems in Time Inhomogeneous Media[J].Journal of Jilin University: Sci Ed,2021,59(5):1031-1044. |
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| Authors: | ZHANG Qiaozhen |
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| Institution: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | The existence and non-existence of generalized traveling waves for two species competitive lattice system in general time inhomogeneous media were considered. By establishing comparison principle for sub-solutions and super-solutions of the related cooperative system and constructing appropriate sub-solutions and super-solutions of the cooperative system, the author proved that the generalized traveling waves of the system exist when their least mean speed was greater than an explicit threshold, and there was no generalized traveling wave whose least mean speed was less than this threshold. |
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| Keywords: | competition system lattice system generalized traveling wave existence |
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