摘要
本文构造并研究了一类具有阶段结构和离散时滞的Gilpin-Ayala时滞反应扩散模型。利用Wu和Zou建立的一般有限时滞的反应扩散方程组波前解存在性的理论,证明了连接两个边界平衡解的行波解的存在性。
In this paper,a Gilpin-Ayala reaction-diffusion model with stage structure and discrete time delay is proposed and studied.With Wu and Zou＇s theory of the existence of wave front solutions of reaction-diffusive equations set with general finite delays,the existence of traveling wave solutions which connecting two boundary equilibrium solutions is proved.
基金
国务院侨办科研基金资助项目(09QZR10)
关键词
阶段结构
时滞
行波解
平衡点
反应扩散方程
stage structure
time delay
traveling wave solution
equilibrium point
reaction-diffusion equation
