| 具有时滞的非自治差分竞争系统的持久生存性和全局稳定性(英文) |
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| 引用本文： | 刘显清,谭荣华,覃文杰,刘志军.具有时滞的非自治差分竞争系统的持久生存性和全局稳定性(英文)[J].生物数学学报,2012(3):385-394. |
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| 作者姓名： | 刘显清 谭荣华 覃文杰 刘志军 |
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| 作者单位： | [1]湖北民族学院理学院,湖北恩施445000 [2]电子科技大学数学科学学院,四川成都611731 |
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| 基金项目： | supported by the Key Project of Chinese Ministry of Education（No.210 134）; the Foundation of Educational Department of Hubei Province in China（No.B2 011906）; the Innovation Term ofHubei University for Nationalities（No.MY2011 T007） |
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| 摘 要： | 对一类具有时滞的两种群竞争系统进行了研究,利用一些不等式的技巧得到了系统持久生存的充分条件,并且通过构造一个离散的Lyapunov函数得到了系统正解全局稳定的条件.
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| 关 键 词： | 时滞离散竞争系统 持久生存性 全局稳定性 正解 |
Permanence and Global Stability in a Delay Non-Autonomous Discrete Competitive System |
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| LIU Xian-qing,TAN Rong-hua,＊ QIN Wen-jie,LIU Zhi-jun.Permanence and Global Stability in a Delay Non-Autonomous Discrete Competitive System[J].Journal of Biomathematics,2012(3):385-394. |
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| Authors: | LIU Xian-qing TAN Rong-hua ＊ QIN Wen-jie LIU Zhi-jun |
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| Institution: | 1 (1 School of Science,Hubei University for Nationalities,Enshi Hubei 445000 China) (2 School of Mathematical Sciences University of Electronic Science and Technology of China,Chengdu Sichuan 611173 China) |
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| Abstract: | In this paper,a difference competitive system with two-species and timedelay is studied.Some sufficient conditions for the permanence of this system is derived by some technique of inequalities.Moreover,conditions which guarantee the global stability of positive solution are also obtained by constructing a certain Lyapunov-like discrete function. |
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| Keywords: | Delay discrete competitive system Permanence Global attractivity Positive solution |
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