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

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.