具有时滞的Beddington-DeAngelis功能性反应捕食系统  

Permanence and Global Attractivity of Predator-Prey System with Time Delay and Beddington-DeAngelis Functional Response

作　　者：陈丹[1] 张树文[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2011年第1期71-74,共4页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金项目(2008J0199)

摘　　要：研究了具有时滞和Beddington-DeAngelis功能性反应的4种群捕食食饵系统,并利用微分方程比较原理,得到了该系统持续生存的充分性条件.对于周期系统的情形,得到了系统的正周期解存在唯一和全局渐近稳定的充分性条件.Predator - Prey system of four species with time delay and Beddington - DeAngelis functional response was investigated. By using the comparison theorem of differential equation, sufficient conditions which guaranteed the permanence of the system were obtained. For the periodic case, the conditions for exist- ence, uniqueness and global attractivity of the positive periodic solution of the system were obtained.

关 键 词：Beddington—DeAngelis功能性反应 时滞 持久性 全局渐近稳定性 

分 类 号：O175.12[理学—数学]