一类非局部反应-扩散方程基于时滞偏微方程的行波解  

Traveling Wavefront Based on a Kind of Delayed Partial Differential Equations for a Nonlocal Reaction-Diffusion System

作　　者：葛志昊 陈玉祥[1] GE Zhihao;CHEN Yuxiang(School of Mathematics and Statistics,Henan University,Kaifeng 475004,China;Institute of Applied Mathematics,Henan University,Kaifeng 475004,China)

机构地区：[1]河南大学数学与统计学院,河南开封475004 [2]河南大学应用数学研究所,河南开封475004

出　　处：《应用数学》2020年第4期938-945,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11971150);the cultivation project of first class subject of Henan University(2019YLZDJL08)。

摘　　要：本文研究一类描述具有扩散和分布时滞的捕食-食饵系统的非局部反应-扩散方程.然后,基于一个近似的二阶时滞偏微分方程证明了该系统行波解的存在性.最后,给出结论总结了本文的主要贡献.In the paper, we consider a nonlocal reaction-diffusion system, which describes a two-species predator-prey system with diffusion and distributed delay. And we give a proof of the existence for traveling wavefront of the system by the method of quasi-upper and lower solutions based on a kind of approximated second order delayed partial differential equations, which connects zero solution with the positive constant solution.

关 键 词：非局部反应扩散方程 行波解 拟上下解 

分 类 号：O29[理学—应用数学]