| 一类纯时滞非自治Lotka-Volterra扩散生态系统的持续生存和全局吸引性 |
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| 引用本文： | 程惠东,范辰,臧秀红.一类纯时滞非自治Lotka-Volterra扩散生态系统的持续生存和全局吸引性[J].北华大学学报(自然科学版),2011(3):249-257. |
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| 作者姓名： | 程惠东 范辰 臧秀红 |
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| 作者单位： | 山东科技大学理学院;中南大学数学科学与计算技术学院;山东平阴实验中学; |
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| 基金项目： | 国家自然科学基金项目(10872118) |
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| 摘 要： | 运用比较定理结合构造Lyapunov泛函的方法,讨论了一类纯时滞非自治扩散的Lotka-Volterra生态系统的持续生存和全局吸引性,补充完善了相关结果.
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| 关 键 词： | 时滞 持续生存 全局吸引性 非自治 扩散 |
Permanence and Globally Asymptotic Stability of a Nonautonomous Lotka-Volterra System with Delays and Dispersion |
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| CHENG Hui-dong,FAN Chen,ZANG Xiu-hong.Permanence and Globally Asymptotic Stability of a Nonautonomous Lotka-Volterra System with Delays and Dispersion[J].Journal of Beihua University(Natural Science),2011(3):249-257. |
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| Authors: | CHENG Hui-dong FAN Chen ZANG Xiu-hong |
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| Institution: | CHENG Hui-dong1,FAN Chen2,ZANG Xiu-hong3(1.College of Science,Shandong University of Science and Technology,Qingdao 266510,China,2.School of Mathematical Sciences and Computing Technology,Central South University,Changsha 410083,3.Experimental High School of Pingyin,Pingyin 250400,China) |
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| Abstract: | Permanence and globally asymptotic stability of a nonautonomous Lotka-Volterra system with delays and dispersion are discussed by means of a suitable Lyapunove functional,some new results are obtained.These results are supplemented. |
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| Keywords: | time delays permanence globally asymptotic stability nonautonomousdispersion |
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