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一类具有时滞的反应扩散Lotka-Volterra竞争系统行波解的存在性 被引量：1

Existence of Traveling Wave Solutions for Reaction-Diffusion Lotka-Volterra Competitive System with Delays
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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. 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 reactiondiffusion 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.
作者 徐芳 张卫国 余志先
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2016年第1期1-7,共7页 Journal of University of Shanghai For Science and Technology
基金 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)
关键词 时滞 LOTKA-VOLTERRA竞争系统 行波解 存在性 上下解 delay Lotka-Volterra competitive system traveling wave solution existence upper and lower solution
分类号 O175.2 [理学—基础数学]
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参考文献16

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二级参考文献30

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上海理工大学学报
2016年 第1期

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