一类带Beddington-DeAngelis功能反应的基于比率依赖的三种群扩散捕食者-食饵系统的周期解(英文)  

Periodic Solutions for a Ratio-Dependent Three-Species Predator-Prey Diffusion System with the Beddington-DeAngelis Functional Response

作　　者：董冉冉[1] 张道祥[1] 尹红云[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《生物数学学报》2012年第2期213-223,共11页Journal of Biomathematics

基　　金：Sponsored by the Foundation of Outstanding Young Talent in University of Anhui Province(2011SQRL022ZD,2010SQRL0256ZD);Anhui University Provincial Natural Science Research Project(KJ2010B346);TianYuan Special Funds of the National Natural Science Foundation for Young Scientists of China(11126237)

摘　　要：研究了一类在两个不同斑块环境中的具时滞基于比率依赖的扩散捕食者-食饵系统,并利用重合度中的延拓定理得到了该系统周期解存在的充分条件.Abstract： A ratio-dependent predator-prey diffusion system with time delays in a two-patch environment is investigated in this paper. By using the continuation theorem based on coincidence degree theory, we establish sufficient criteria for the existence of periodic solutions for the system.

关 键 词：捕食者-食饵系统 周期解 Beddington-DeAngelis功能反应 时滞 

分 类 号：O175.1[理学—数学]