一类具有时滞的反应扩散Lotka-Volterra合作系统行波解的存在性  

Existence of Traveling Wave Solution for Reaction-Diffusion Lotka-Volterra Cooperative System with Time Delay

作　　者：张贝贝 

机构地区：[1]长沙理工大学数学与统计学院,湖南 长沙

出　　处：《应用数学进展》2024年第8期4034-4042,共9页Advances in Applied Mathematics

摘　　要：本文研究了移动环境下一类具有时滞的Lotka-Volterra合作系统行波解的存在性。利用单调迭代方法,通过构造合适的上下解,证明了当环境运动速度c>max{ c1∗,c2∗}时,系统连接两边界平衡点的行波解的存在性。Existence of traveling wave front solutions is established for diffusive and cooperative Lotka-Volterra system with delays in a shifting environment. Using the method of monotone iteration and by constructing appropriate upper and lower solutions, it is proven that when the environmental movement speed is c>max{ c1∗,c2∗}, there exist traveling wave solutions that connect the boundary equilibrium points of the system.

关 键 词：时滞 Lotka-Volterra合作系统 移动环境 行波解 上下解 

分 类 号：O17[理学—数学]