一类无穷时滞周期Lotka-Volterra型系统的正周期解

The Positive Periodic Solutions of A Class of Periodic Lotka-Volterra Type Systems with Infinite Delay

该文研究一类无穷时滞周期Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ型系统正周期解的存在性．应用Ｓｃｈａｕｄｅｒ不动点定理得到了一个比较一般的正周期解存在定理．文献［１，２］中的主要结果被改进和推广．

In this paper the existence of positive periodic solutions of a class of periodic Lotka-Volterra type systems with delays is studied. Applying the Schauder's fixed point theorem we obtain a general criterion for the existence of positive periodic solutions. The main results in articles [1,2] are improved and extended.