中文摘要：

对一类在斑块环境下具有Beddington型功能性反应和时滞现象的非自治捕食系统进行了研究,证明系统在适当的条件下是永久持续生存的;利用重合度理论,得到了一组保证该系统存在正周期解的充分条件．

英文摘要：

In this paper, a non-autonomous predator-prey patchy system with Bedding-type functional response and time delay is investigated. It is shown that the system is permanent mule some appropriate conditions. By using Gaines and Mawhin＇s contmuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are obtained to guarantee the existence of positive periodic solutions of the system.