移动环境下三种群Lotka-Volterra竞争合作系统行波解的存在性  

The Existence of Traveling Wave Solutions for Three Species Lotka-Volterra Competitive-Cooperative System under a Shifting Habitat

作　　者：陈碧霞 

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3989-4000,共12页Advances in Applied Mathematics

摘　　要：考虑在移动环境下局部扩散三种群Lotka-Volterra竞争合作系统行波解的存在性,并假设此系统的内禀增长率函数恒大于某正常数。通过构造一对有序的上下解并利用单调迭代技巧和波动引理,证明了系统的非负受迫行波的存在性。We consider the existence of traveling wave solutions for Lotka-Volterra competitive-cooperative system with three-species under a shifting habitat, and assume that the intrinsic growth rate functions of this system are greater than the normal numbers. We prove the existence of non-negative forced traveling waves of the system by constructing a pair of upper and lower solutions and using monotonic iterative techniques and the fluctuation lemma.

关 键 词：移动环境 Lotka-Volterra竞争合作系统 单调迭代 波动引理 

分 类 号：O17[理学—数学]