一类多时滞差分系统的定性性质  

Qualitative Properties of a Class of Difference System with Different Delays

作　　者：曹建新[1] 李荣军[1] 

机构地区：[1]湖南工程学院数理系,湖南湘潭411104

出　　处：《湖南工程学院学报（自然科学版）》2006年第3期77-79,共3页Journal of Hunan Institute of Engineering(Natural Science Edition)

摘　　要：考察一类具多时滞的离散Lotka-Volterra互惠模型.利用迭代理论、M—矩阵理论、单调理论,分析该系统的持久存在性和吸引性,得到了该差分系统一致持久存在和其正解全局吸引的充分条件.In this paper, we investigate a class of discrete - time Lotka - Volterra facultative mutualism system with different delays. By using the iteration method , M -matris theory and monotonous theory, the sufficient conditions are obtained for global attractivity and boundedness and persistence of positive solutions of this difference system.

关 键 词：差分系统 互惠模型 持久存在性 吸引性 

分 类 号：O175.7[理学—数学]