二维反应扩散方程波前解的存在性

Existence of travelling wave fronts of two-dimensional reaction-diffusion systems

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.