Lotka-Volterra竞争扩散系统连接边界平衡点和正平衡点行波解的存在性  

The Existence of Traveling Wave Solutions for Completive Lotka-Volterra Reaction-Diffusion Systems Connecting Boundary and Positive Equilibriums

作　　者：林园[1] 高瑾[2] LIN Yuan;GAO Jin(Department of Public Courses,Shenzhen Institute of InformationTechnology,Shenzhen,Guangdong 518172,China;School of Computer Sciences,Shenzhen Institute of InformationTechnology,Shenzhen,Guangdong 518172,China)

机构地区：[1]深圳信息职业技术学院公共课教学部,广东深圳518172 [2]深圳信息职业技术学院计算机学院,广东深圳518172

出　　处：《教育教学论坛》2019年第27期95-98,共4页Education And Teaching Forum

基　　金：深圳信息职业技术学院校级科研培育项目(QN201703)

摘　　要：本文讨论Lotka-Volterra竞争系统连接边界平衡点和正平衡点行波解的存在性。通过变量代换将边界平衡点转化为零点,再利用上下解结合不动点定理得到了当c>c*时行波解的存在性。本文的结果丰富了对Lotka-Volterra竞争系统认识。This paper is devoted to the study of the existence of traveling wave solutions for completive Lotka-Volterra reaction-diffusion systems connectingboundary and positive equilibriums.By variable substitution boundary equilibrium can be changed into zero equilibrium.Along with upper lower solutions and Schauder's fixed point theorem we proof the existence of traveling wave solutionfor c>c*.

关 键 词：LOTKA-VOLTERRA竞争系统 行波解 上下解 边界平衡点 

分 类 号：G712[文化科学—职业技术教育学]