Traveling waves in nonlocal diffusion systems with delays and partial quasi-monotonicity

被引：0
作者：
Zhao-quan Xu
Pei-xuan Weng
机构：
[1] South China Normal University,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2011年 / 26卷
关键词：
Traveling wave; nonlocal diffusion; partial quasi-monotonicity; upper and lower solution; cross iteration scheme; 34K25; 35K57; 92D25.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to the study of a three-dimensional delayed system with nonlocal diffusion and partial quasi-monotonicity. By developing a new definition of upper-lower solutions and a new cross iteration scheme, we establish some existence results of traveling wave solutions. The results are applied to a nonlocal diffusion model which takes the three-species Lotka-Volterra model as its special case.
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页码：464 / 482
页数：18
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