带环境迁移项的格上Lotka-Volterra竞争系统的Squeezing定理  

Squeezing Theorem of the Lattice Lotka-Volterra Competition System in a Shifting Environment

作　　者：李江 王红勇[2] LI Jiang;WANG Hongyong(Human Resources Department,University of South China,Hengyang,Hunan 421001,China;School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China)

机构地区：[1]南华大学人力资源处,湖南衡阳421001 [2]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2020年第5期93-96,共4页Journal of University of South China：Science and Technology

摘　　要：运用最值原理,研究了带环境迁移项的格上Lotka-Volterra竞争系统强制波的严格单调性。据此,利用上下解方法及比较原理,证明了Squeezing定理。从而能够给出相应柯西问题解的一个估计,并为全局稳定性的分析提供工具。The strict monotonicity of the forced waves of a lattice Lotka-Volterra competition system in a shifting environment is investigated by applying the maximum principle.Based on this result,the squeezing theorem is proved by making use of upper-lower solution method and comparison principle.As a result,an estimation can be obtained for the solutions of the corresponding Cauchy problem to provide some insights to the global stability.

关 键 词：LOTKA-VOLTERRA系统 强制波 Squeezing定理 格 环境迁移 稳定性 

分 类 号：O175[理学—数学]