离散的似然竞争系统的周期解存在性  

The existence of periodic solutions for a discrete apparent competition system

作　　者：盛晓娜[1] 马维军[2] 徐亚兰[1] 

机构地区：[1]哈尔滨学院理学院,哈尔滨150086 [2]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2012年第2期219-224,共6页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省教育厅科学技术研究资助项目(11544032;11553060);哈尔滨学院学科发展研究基金(青年)资助项目(HXKQ200702)

摘　　要：似然竞争包含竞争和捕食两种关系,在保护地球生物多样性的过程中扮演着重要的角色,同时微分方程周期解存在性问题也是微分方程理论研究中重要问题之一。探讨具有Bedding-ton-DeAngelis功能性反应离散的非自治似然竞争系统周期解存在性问题。将基于重合度的方法和一些常用不等式估计技巧,对于上述系统,建立了至少存在一个正周期解的判别准则。Apparent competition includes competition and predation,and plays an important role in the process of the protection of the earth＇s biological diversity.Moreover,the existence of periodic solutions for differential equations is one of the important issues in the study of differential equations.The existence of periodic solutions for a discrete non-autonomous apparent competition system with the Beddington-DeAngelis functional response is explored.With the help of coincidence degree and some inequalities estimation techniques,a sufficient criterion is established for the existence of a positive periodic solution.

关 键 词：似然竞争 重合度 周期解 

分 类 号：O175.12[理学—数学]