二维格上带状区域中单种群模型双稳行波解的唯一性  

Uniqueness of Bistable Traveling Wavesof a Single-Species Model in a 2-D Lattice Strip

作　　者：李明涛 路正玉 LI Ming-tao;LU Zheng-yu(School of Mathematical and Physical Sciences,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2020年第2期1-4,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：研究了二维格上带状区域中具有年龄结构的单种群模型双稳行波解的唯一性,该模型反映了空间扩散、非局部时滞以及传播方向对种群的共同作用.首先通过对出生函数的合理假设并结合上下解的定义,建立一对适当的上下解,然后利用挤压技术证明该模型的双稳行波解是唯一的.The uniqueness of the bistable traveling wave solution to a single-species model with age structure in a 2-D lattice strip was considered,the joint effect of spatial diffusion was reflected by this model,nonlocal delay and the direction of propagation on the population.Firstly,based on the reasonable hypothesis of the birth function and the definition of the upper and lower solutions,a pair of appropriate upper and lower solutions were established,and then the bistable traveling wave solution to this model was proved to be unique by means of squeezing technique.

关 键 词：单种群模型 双稳行波解 上下解 挤压技术 

分 类 号：O175.26[理学—数学]