Travelling wave solutions in non-local convolution diffusive competitive–cooperative systems
Travelling wave solutions in non-local convolution diffusive competitive–cooperative systems
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DOI：
10.1093/imamat/hxq048
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发表时间：
2011-08
影响因子：
1.2
通讯作者：
Zhixian Yu;R. Yuan
中科院分区：
文献类型：
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作者：
Zhixian Yu;R. Yuan
本文利用Schauder不动点定理和交叉迭代技巧，研究了非局部卷积扩散两种群竞争合作系统行波解的存在性。如果非局部扩散核δ是Dirac Delta函数，则我们可以得到如下结果：具有部分单调性的时滞反应扩散系统的行波解。数学学报。APPL中国，22,243-256)和相应的拉普拉斯扩散两种群竞争合作系统的行波的存在性。
In this paper, we investigate the existence of travelling wave solutions for the non-local convolution diffusion two-species competitive–cooperative systems by using Schauder’s fixed-point theorem and a cross-iteration technique. If the non-local diffusion kernelwhere δ is the Dirac delta function, then we can obtain the results in Huang & Zou (2006, Travelling wave solutions in delayed reaction diffusion systems with partial monotonicity. Acta Math. Appl. Sinica, 22, 243–256) and the existence of travelling waves for the corresponding Laplacian diffusion two-species competitive–cooperative systems.