| Persistence and Periodic Orbits for Competivive Lotka-Volterra Diffusion System |
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| 引用本文： | 宋新宇. Persistence and Periodic Orbits for Competivive Lotka-Volterra Diffusion System[J]. 信阳师范学院学报(自然科学版), 1997, 0(4) |
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| 作者姓名： | 宋新宇 |
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| 作者单位： | 信阳师范学院数学系 |
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| 摘 要： | 本文研究一类竞争扩散系统，此系统有两种种群ｎ个斑块，其中一种种群可以在ｎ个斑块中自由扩散，而另一种种群被限定在一个斑块上不能扩散，得到系统持续生存和存在唯一全局渐近稳定周期解的条件。
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| 关 键 词： | 持续生存；周期解的唯一性；全局渐近稳定性 |
Persistence and Periodic Orbits for Competivive Lotka-Volterra Diffusion System |
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| Song Xinyu. Persistence and Periodic Orbits for Competivive Lotka-Volterra Diffusion System[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1997, 0(4) |
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| Authors: | Song Xinyu |
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| Abstract: | This paper considers a competing system consisting of two species, one of which can diffuse among n-patches,while the other is confined to one patch and cannot diffuse. It is proved that if the coefficients satisfy certain inequalities, then the system can be made persistent and have a strictly positive periodic orbit which is globally asymptotically stable. |
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| Keywords: | Persistence Uniqueness of periodic orbit Global asymptotic stability. |
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