时间离散的时滞三维K-型型竞争扩散系统的行波解

Traveling wave solutions in temporally discrete three-dimensional type-K competition diffusion systems with delays

建立和分析了一类具有时滞的时间离散三维反应扩散系统当非线性项满足K-型竞争条件时行波解的存在性.利用交叉迭代方法和Schauder不动点定理将所研究的系统行波解的存在性问题转化为寻找系统的一对合适的上下解,并将所得结论应用到时滞三维K-型竞争扩散系统的时间离散化系统中.

In this paper,we investigate the existence of traveling wave solutions for temporally discrete three dimensional reaction diffusion systems when the nonlinear terms satisfy the type-K competition.By using the cross iteration method and Schauder′s fixed point theorem,we reduce the existence of traveling wave solutions to look for a pair of upper and lower solutions for the systems.The obtained conclusions are applied to the temporally discrete three dimensional type-K competition diffusion system with delays.