| 具有时滞的非自治差分竞争系统的渐近行为研究(英文) |
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| 引用本文： | 覃文杰,刘志军. 具有时滞的非自治差分竞争系统的渐近行为研究(英文)[J]. 生物数学学报, 2010, 0(3): 411-424 |
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| 作者姓名： | 覃文杰 刘志军 |
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| 作者单位： | 湖北民族学院数学系,湖北恩施445000 |
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| 基金项目： | The work is supported by the Key Project of Chinese Ministry of Education（No.210 134）; the Innovation Term of Educational Department of Hubei Province of China （No.T200804）; the Innovation Term of Hubei University for Nationalities（No.MY20 09T001）; the Fund of Cultivating Excellent Master Dissertation of Hubei University for Nationalities. |
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| 摘 要： | 提出了一个具有时滞的非自治差分竞争系统.分别利用差分不等式及Lyapunov离散函数技巧,得到了系统永久持续生存和正解全局吸引的充分条件.数值模拟验证了理论结果的正确性.
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| 关 键 词： | 差分竞争系统 永久持续生存 全局吸引 正解 时滞 |
Asymptotic Behaviors of a Non-autonomous Discrete Competitive System with Delays |
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| QIN Wen-jie,LIU Zhi-jun. Asymptotic Behaviors of a Non-autonomous Discrete Competitive System with Delays[J]. Journal of Biomathematics, 2010, 0(3): 411-424 |
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| Authors: | QIN Wen-jie LIU Zhi-jun |
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| Affiliation: | (Department of Mathematics,Hubei University for Nationalities,Enshi Hubei 445000 China) |
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| Abstract: | A non-autonomous discrete competitive system with delays is proposed. By using the method of difference inequality and Lyapunov-like discrete function,sufficient conditions for the permanence of system and global attractivity of positive solutions of system are de（？）ved,respectively.Numerical simulations are presented to substantiate the analytical results. |
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| Keywords: | Discrete competitive system Permanence Global attractivity Positive solution Delay |
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