具有分布时滞和非局部空间效应的合作模型的行波解

Traveling Fronts in Cooperation Model with Distributed Delay and Nonlocal Spatial Effect

考虑并研究了一类具有分布时滞和非局部空间效应影响的合作系统的反应扩散模型.利用Wang,Li和Ruan建立的非局部时滞反应扩散方程组波前解存在性的理论,证明了连接零平衡解和正平衡解的行波解的存在性.

In this paper,the author consider and study a reaction-diffusion model with distributed delays and nonlocal spatial effect,which models the interaction between the two species,the adult members of which are in cooperation.We established the existence of traveling wave fronts connecting the zero solution of this equation with the unique positive steady state.The approach used in this paper is the upper-lower solutions technique and the monotone iteration developed by Wang,Li and Ruan for reaction-diffusion systems with spatio-temporal delays.