一类带有Beddington-DeAngelis型时滞的捕食者-食饵系统的一致持久性  

Uniform Persistence for a Predator-prey System with Delays of Beddington-Deangelis Type

作　　者：陈雪梅 杨喜陶[1] CHEN Xuemei;YANG Xitao(School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan,Hunan 411201,China)

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《湖南城市学院学报（自然科学版）》2018年第4期40-44,共5页Journal of Hunan City University:Natural Science

摘　　要：本文研究了一类带有Beddington-DeAngelis型功能反应的时滞非自治捕食者-食饵系统,通过微分方程比较定理来研究其正周期解的一致持久性和存在性,得到了该系统正周期解存在性的充分条件,并且所得结果改进和推广了前人的一些相关结论,最后给出1个实例说明了所得结果﹒A class of delayed non-autonomous predator-prey systems with the Beddington-DeAngelis type functional response is studied in this paper.The uniform persistence and the existence of the positive periodic solutions for periodic systems will be studied by using the comparison theorem of differential equations,some sufficient conditions are determined that guarantee the existence of positive periodic solutions for the model.The results extend and improve some previous ones in the literature.Finally,an example is given to illustrate the obtained results.

关 键 词：捕食者-食饵系统 Beddington-DeAngelis型 一致持久性 时滞 

分 类 号：O175.1[理学—数学]