离散捕食系统正周期解的存在性  

Existence of Positive Periodic Solutions for a Discrete Predator-Prey System

作　　者：李莉[1] 张广[1] 靳祯[1] 

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《中北大学学报（自然科学版）》2010年第2期95-99,共5页Journal of North University of China(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60771026);新世纪优秀人才支持计划资助项目(NCET050271);山西省自然科学基金资助项目(2006011009)

摘　　要：研究了一类具有Beddington-DeAndelis功能性反应和捕食者互相残杀项的非自治离散捕食系统,利用Mawhin重合度理论获得了这类系统正周期解存在的充分性判据.It was studied that for the non-autonomous discrete predator-prey system with the Beddington-DeAndelis functional response and predator cannibalism. By using continuation theorem which was proposed by Gaines and Mawhin, the existence sufficient conditions of at least one positive periodic solution of the system are obtained.

关 键 词：离散捕食系统 捕食者 Beddington—DeAndelis功能性反应 周期解的存在性 

分 类 号：O175.7[理学—数学]