一类具有Allee效应和时滞的捕食者-食饵系统的稳定性  

Stability of a Predator-Prey System with Allee Effect and Time Delay

作　　者：王萌 刘乃伟[1] WANG Meng;LIU Naiwei(School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2024年第4期414-421,共8页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(11871416)。

摘　　要：研究了一类具有强Allee效应和时滞的Beddington-DeAngelis型捕食者-食饵系统,讨论了该系统的解的有界性和平衡点的存在性,并利用特征值理论和线性化方法分析了系统平衡点的稳定性。The present study investigated a Beddington-DeAngelis type predator-prey system characterized by a strong Allee effect and time delay.The boundedness of the system solution and the existence of the equilibrium point were discussed.Furthermore,the stability of the equilibrium point of the system was analyzed using eigenvalue theory and linearization methods.

关 键 词：捕食者-食饵模型 时滞 ALLEE效应 Beddington-DeAngelis型功能反应函数 

分 类 号：O175[理学—数学] Q141[理学—基础数学]