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中文摘要：
捕食者和被捕食者都具有密度制约的捕食—被捕食系统更符合现实的生物环境,所以本文研究了周期的非自治具有密度制约和Beddington-DeAngelis功能反应函数的捕食—被捕食系统的持久性.我们不仅得到了该系统持久的充分条件,也得到了该系统持久的必要条件,并且这些条件都得到了数值验证.
英文摘要：
In this paper, we systematically discussed permanence of a non-autonomous density dependent predator-prey system with Beddington-DeAngelis functional response, where not only the prey density dependence but also the predator density dependence are considered, such that the studied predator-prey system conforms to the realistically biological environment. We get the sufficient condition of persistence of the system, further have the necessary condition of persistence of the the obtained model. system, which all can be easily checked from
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