具有时滞离散时间捕食-食饵模型的行波解

摘要

The existence of traveling wave solutions for general discrete time reaction diffusive system with delay when the nonlinear term satisfies the partial exponential quasi monotone condition was investigated.By using the cross iteration method and Schauder′s fixed point theorem,the existence of traveling wave solutions was reduced to search a pair of upper and lower solutions.Finally,a discrete time delay prey-predator type model with spatial diffusion was considered to illustrate the results.%研究了一类抽象的离散时间时滞反应扩散系统,当非线性项满足部分指数拟单调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,将抽象波方程行波解的存在性转化为寻找一对合适的上下解,并将所得结论应用到具有时滞离散时间的捕食-食饵模型中.