高维空间中捕食模型解的整体存在唯一性  

Existence and uniqueness of a global solution to the preypredator model in high dimensional space

作　　者：张璐丹 景元萍 ZHANG Ludan;JING Yuanping(Department of Mathematics and Physics,Luoyang Institute of Science and Technology,Louyang 471000,China)

机构地区：[1]洛阳理工学院数学与物理教学部,河南洛阳471000

出　　处：《高师理科学刊》2021年第7期8-10,共3页Journal of Science of Teachers＇College and University

摘　　要：研究高维空间中带有自由边界的捕食模型解的整体存在唯一性,利用线性方程理论和压缩映像原理得到解的局部存在唯一性.对解的大小进行估计,运用延拓法得到解的整体存在性和唯一性.For the prey-predator model with free boundary in high dimensional space,the existence and uniqueness of the global solution are investigated.The theory of linear equation and the contraction mapping theorem are used to prove the local existence and uniqueness of the solution.By estimating the size of the solution and extension method,the existence and uniqueness of the global solution are obtained.

关 键 词：捕食模型 自由边界 存在性 唯一性 

分 类 号：O175[理学—数学]