| 一类具有时滞的反应扩散Lotka-Volterra竞争系统行波解的存在性 |
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| 引用本文： | 徐芳,张卫国,余志先.一类具有时滞的反应扩散Lotka-Volterra竞争系统行波解的存在性[J].上海理工大学学报,2016,38(1):1-7. |
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| 作者姓名： | 徐芳 张卫国 余志先 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目(11071164,11101282,11271260);上海市教委科研创新项目(13ZZ118,14YZ096);上海市一流学科(系统科学)建设项目(XTKX2012);沪江基金资助项目(B14005) |
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| 摘 要： | 研究了一类具有时滞的Lotka-Volterra竞争系统行波解的存在性.应用具有时滞的反应扩散系统行波解存在性理论,将所研究系统行波解存在性的问题转化为寻找该系统的一对上、下解.给出了该系统在无穷远处的渐进衰减行为,完善并改进了同类系统行波解存在性的结论.
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| 关 键 词： | 时滞 Lotka-Volterra竞争系统 行波解 存在性 上下解 |
| 收稿时间： | 2014/8/27 0:00:00 |
Existence of Traveling Wave Solutions for Reaction-Diffusion Lotka-Volterra Competitive System with Delays |
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| XU Fang,ZHANG Weiguo and YU Zhixian.Existence of Traveling Wave Solutions for Reaction-Diffusion Lotka-Volterra Competitive System with Delays[J].Journal of University of Shanghai For Science and Technology,2016,38(1):1-7. |
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| Authors: | XU Fang ZHANG Weiguo and YU Zhixian |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The existence of traveling wave solutions for two species Lotka-Volterra competitive system with delays was investigated.Based on the theory of the existence of traveling wave solutions for reaction-diffusion systems with delays, the main problem was transfered to look for a pair of upper and lower solutions for the system.And the asymptotic behavior of the system was given as an attenuated motion tending to the infinity.The study makes up and improves the results of the existence of traveling wave solutions of a class of systems. |
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| Keywords: | delay Lotka-Volterra competitive system traveling wave solution existence upper and lower solution |
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