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中文摘要：
利用Gains和Mawhin重合度理论中的延拓定理，得到了一类具有Beddington-DeAngelis功能反应密度制约的离散非自治捕食者一食饵系统周期解存在性的充分条件，推广了某些已知的相关结果．这个结论不仅适用于离散时滞，同样也适用于分布时滞和偏差变元．
英文摘要：
By using the continution theorem based on Gaines and Mawhin＇ s coincidence degree, sufficient and realistic conditions were obtained for the existence of positive periodic solutions for a discrete time nonautonomous density dependence predatorprey system with Beddington-DeAngelis functional response, and the results were improved. The results were applicable to distribute delays and deviating arguments.
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