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

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.