Existence and stability of traveling wavefronts for a reaction-diffusion system with spatio-temporal nonlocal effect
Existence and stability of traveling wavefronts for a reaction-diffusion system with spatio-temporal nonlocal effect
复制标题
时空非局部效应反应扩散系统行波前的存在性及稳定性
DOI：
10.1002/zamm.201600170
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Peixuan Weng
中科院分区：
文献类型：
--
作者：
Chufen Wu;Mengqi Li;Peixuan Weng
研究了一类具有时空时滞的二维拟单调反应扩散方程组的波前解.利用上下解方法和不动点定理证明了该系统行波解的存在性，并利用比较原理结合加权能量函数的技巧研究了具有大初始扰动的方程行波解的全局指数稳定性.行波周围的初始扰动按指数衰减，但在其他位置可以任意大。
In this paper, traveling wave fronts for a two dimensional quasi‐monotone reaction‐diffusion system with spatio‐temporal delays are investigated. We use the upper‐lower solution method and the fixed‐point theorem to establish the existence of traveling waves for the system, and the technique of comparison principle combined with the weighted energy function to study the global exponential stability of traveling waves of the equations with large initial perturbation. The initial perturbation around the traveling waves decays exponentially as, but it can be arbitrarily large in other locations.