具有移动环境的Lotka-Volterra合作系统周期强迫波的存在性  

Existence of Periodic Forced Waves for a Lotka-Volterra Cooperative System with Shifting Habitat

作　　者：王国正 史振霞[1] Wang Guozheng;Shi Zhenxia(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070)

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《数学物理学报(A辑)》2025年第2期479-492,共14页Acta Mathematica Scientia

基　　金：国家自然科学基金(11904275)。

摘　　要：该文主要研究具有移动环境的Lotka-Volterra合作系统在二维格上的周期强迫波的存在性.首先,证明Lotka-Volterra系统的初值问题解的存在性与唯一性,并建立了比较原理.其次,构造Lotka-Volterra合作系统的一对上下解,通过单调迭代技巧并结合上、下解方法证明了与栖息地移动速度相一致的周期强迫波的存在性.This paper is concerned with the existence of periodic forced waves on a two-dimensional lattice for Lotka-Volterra cooperative systems with a shifting habitat.First,we prove the existence and uniqueness of solutions to the initial value problem for the Lotka-Volterra system and establish a comparison principle.Second,we construct a pair of upper and lower solutions of the Lotka-Volterra cooperative system and prove the existence of periodic forced waves consistent with the habitat movement velocity by monotone iteration technique and combining the upper and lower solution methods.

关 键 词：存在性 周期强迫波 Lotka-Volterra合作系统 单调迭代技巧 上下解方法 

分 类 号：O175[理学—数学]