| 一类多时滞差分系统的定性性质 |
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| 引用本文： | 曹建新,李荣军. 一类多时滞差分系统的定性性质[J]. 湖南工程学院学报(自然科学版), 2006, 16(3): 77-79 |
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| 作者姓名： | 曹建新 李荣军 |
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| 作者单位： | 湖南工程学院,数理系,湖南,湘潭,411104;湖南工程学院,数理系,湖南,湘潭,411104 |
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| 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.
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| 关 键 词： | 差分系统 互惠模型 持久存在性 吸引性 |
| 文章编号： | 1671-119X(2006)03-0077-03 |
| 收稿时间： | 2005-12-29 |
| 修稿时间： | 2005-12-29 |
Qualitative Properties of a Class of Difference System with Different Delays |
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| CAO Jian-xin,LI Rong-jun. Qualitative Properties of a Class of Difference System with Different Delays[J]. Journal of Hunan Institute of Engineering(Natural Science Edition), 2006, 16(3): 77-79 |
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| Authors: | CAO Jian-xin LI Rong-jun |
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| Affiliation: | Dept. Math. and phy. , Hunan Institute of Engineering, Xiangtan 411104, China |
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| Abstract: | 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. |
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| Keywords: | difference system facultative mutualism system boundedness and persistence attractivity |
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