摘要
对于具有时空时滞的一维反应扩散系统中波前解的存在性,已有文献利用单调迭代技术结合适当的上下解和非标准排序的方法来证明.由于物种一般生存在高维的环境中,文章将这些方法推广到二维空间上,证明具有非局部效应的二维反应扩散方程波前解的存在性.
For the existence of travelling wave fronts of one-dimensional reaction-diffusion systems with spatio- temporal delays, the monotone iteration technique coupled with the upper-lower solutions and nonstandard orde- ring methods has been used to prove it. Since species generally exist in high-dimensional environments, this pa- per extends these methods to two-dimensional space and proves the existence of travelling wave fronts of two-di- mensional reaction-diffusion systems with nonlocal effects.
作者
王丹丽
WANG Dan-li(School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China)
出处
《广州大学学报(自然科学版)》
CAS
2018年第4期21-29,共9页
Journal of Guangzhou University:Natural Science Edition
关键词
二维反应扩散方程
非局部效应
波前解
two-dimensional reaction-diffusion systems
nonlocal effect
travelling wave fronts