非局部时滞Schoner竞争反应扩散方程的行波解

构造并研究了一类具有非局部时滞Schoner竞争反应扩散模型．每一个种群的成熟期是一个常数，而且只有成年种群存在竞争，幼年的种群并不存在竞争，此外种群个体在空间区域中的运动是随机行走的．我们利用Wang，Li和Ruan建立的具有非局部时滞的反应扩散系统的波前解存在性理论，证明了连接两个边界平衡解的行波解的存在性．

Traveling Fronts in Schoner Reaction-diffusion Equation in Competitive Model with Nonlocal Delays

In this paper, the author proposed and considered a Schoner reaction-diffusion equation in competing model with nonlocal delays . Each species in the discrete delay type model has a corresponding constant maturation time. Only the adult members are involved competition and immature members are in the absence of competition. We established the existence of traveling wave fronts connecting two boundary equilibriums. The approach used in this paper is the upper-lower solutions technique and monotone iteration by Wang, Li and Ruan for reaction-diffusion systems with spatio-temporal delays.