具有Beddington-DeAngelis功能反应的捕食系统的全局分析  

Global Analysis of a Predator-prey System with Beddington-DeAngelis Functional Response

作　　者：梁桂珍[1] 丰莹莹 

机构地区：[1]新乡学院数学与信息科学学院,河南新乡453003 [2]郑州大学数学与统计学院,郑州450001

出　　处：《新乡学院学报》2015年第12期1-6,共6页Journal of Xinxiang University

基　　金：河南省科技厅科技攻关项目(122102310373;132102310482);新乡学院科技创新项目(12ZB17)

摘　　要：研究了具有Beddington-De Angelis功能反应的捕食系统,该系统包含具有阶段结构和时滞特征的捕食者种群和两类具有互惠关系的食饵种群。通过比较原理得到了该系统持续生存和捕食者灭绝的充分条件,并证明了该系统为周期系统时其正周期解的存在性和全局稳定性。In this paper, a predator-prey system with Beddington-De Angelis functional response was investigated. The system comprised the stage structure feature, the predator population with delay feature and two prey populations with mutually beneficial relationship. According to the comparative principle, some sufficient conditions were proved for the permanence of the system and extinction of the predator, and some sufficient conditions were proved for the existence and global stability of positive periodic solution when this system was a periodic system.

关 键 词：阶段结构 时滞 互惠关系 持续生存 Beddington-DeAngelis功能反应 

分 类 号：O175.21[理学—数学]