本文利用Ｃ-ｈ空间理论，ＢＣ_ｈ空间理论和上下解方法研究具有无穷时滞的 Ｖｏｌｔｅｒｒａ反应扩散方程组正解和有界正解的存在唯一性，并给出有关应用的例子．

In this paper, we consider the existence and uniqueness of positive solutions and bounded positive solutions of systems of Volterra reaction-diffusion equations with infinite delay by making use of the theories of C_h space, BC_h space and the method of lower and upper solutions. In the final, we give an example.