中文摘要：

文应用上下解的方法以及单调迭代序列的积分表达式，证明了在半空间R^n中耦合的时滞反应扩散方程组全局解的存在唯—性，并且用它解决了—类特殊的Volterra-Lotka模型的解的存在性问题。

英文摘要：

By the method of upper and lower solitions and the integral represention of its associated monotone iterative sequences, this paper gives the existence and uniquiness of a solution to a coupled boundary time delays reaction diffusion system in R^n. Moreover, an application is given to a special Volterra-Lotka model.