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具时滞的三种群离散捕食系统的正周期解的存在性
引用本文:吴润莘,李林.具时滞的三种群离散捕食系统的正周期解的存在性[J].福建工程学院学报,2007,5(3):291-296.
作者姓名:吴润莘  李林
作者单位:福建工程学院数理系,福建,福州,350014
摘    要:讨论-类基于比率且具有Machaelis-Menten型功能性反应的三种群离散捕食系统,利用Mawhin重合度理论中的延拓定理,得到了该系统正周期解存在的充分条件.

关 键 词:时滞  正周期解  重合度
文章编号:1672-4348(2007)03-0291-06
修稿时间:2006-12-28

Positive periodic solution for three-species discrete time predatorprey system with time delays
Wu Runshen.Positive periodic solution for three-species discrete time predatorprey system with time delays[J].Journal of Fujian University of Technology,2007,5(3):291-296.
Authors:Wu Runshen
Institution:Mathematics and Physics Department, Fujian University of Technology, Fuzhou 350014, China
Abstract:An actual and more common ratio-dependent three-species discrete time predatorprey system with Machaelis-Menten type is investigated.By using Mawhin coincidence degree theory,a new sufficient condition for the existence of positive periodic solution of the system is obtained.
Keywords:delay  positive periodic solution  coincidence degree
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