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一类具有非局部扩散的时滞Lotka-Volterra竞争模型的行波解 被引量：3

Traveling Waves of a Competitive Lotka-Volterra Model with Nonlocal Diffusion and Time Delays
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摘要 本文研究一类具有非局部扩散的时滞Lotka-Volterra竞争模型行波解的存在性问题.通过利用交叉迭代技巧,我们可以把行波解的存在性转化为寻找一对适当的上下解,这篇文章中的结果推广了已有的一些结果. In this paper, we consider the existence of traveling waves for a competitive Lotka-Volterra model with nonlocal diffusion and time delays By a crossing interation technique, we reduce the existence of traveling waves to looking for a suitable upper-lower solutions. The result in the present paper extends some known results.
作者 夏静 余志先 袁荣
机构地区 装甲兵工程学院基础部 北京大学数学科学学院 上海理工大学理学院 北京师范大学数学科学学院
出处 《应用数学学报》 CSCD 北大核心 2011年第6期1082-1093,共12页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11101282 10671021)资助项目
关键词 Lotka-Volterra竞争模型 行波解 上下解 非局部扩散 时滞 competitive Lotka-Volterra model traveling wave upper-lower solution nonlocal diffusion time delay
分类号 O175.2 [理学—基础数学]
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参考文献16

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同被引文献21

  • 1Wu J H,Zou X F. Traveling wave fronts of reaction-diffusion systems with delays[J].J Dyna Diff Equa,2001,(13):651-687.
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应用数学学报
2011年 第6期

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