| ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION |
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| 引用本文： | Meng Xinzhu Zhang Tongqian Liu Hongxia (Depi. of Basic Courses,Shandong University of Science and Technology,Qingdao 266510). ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION[J]. Annals of Differential Equations, 2005, 21(3): 378-384 |
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| 作者姓名： | Meng Xinzhu Zhang Tongqian Liu Hongxia (Depi. of Basic Courses Shandong University of Science and Technology Qingdao 266510) |
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| 作者单位： | Depi. of Basic Courses，Shandong University of Science and Technology，Qingdao 266510 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (10171056). |
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| 摘 要： | An n-species nonautonomous Lotka-Volterra competition and diffusion model with time delays is investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and by using the skill of constructing an appropriate Lyapunov function, the new sufficient conditions are obtained for the global asymptotic stability and the uniqueness of the positive periodic solution.
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| 关 键 词： | Lotka-Volterra竞争系统 扩散模型 渐进线 稳定性 Lyapunov函数 周期解 |
ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION |
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| Meng Xinzhu Zhang Tongqian Liu Hongxia. ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION[J]. 微分方程年刊(英文版), 2005, 21(3): 378-384 |
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| Authors: | Meng Xinzhu Zhang Tongqian Liu Hongxia |
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| Affiliation: | Dept. of Basic Courses, Shandong University of Science and Technology, Qingdao 266510 |
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| Abstract: | An n-species nonautonomous Lotka-Volterra competition and diffusion model with time delays is investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and by using the skill of constructing an appropriate Lyapunov function, the new sufficient conditions are obtained for the global asymptotic stability and the uniqueness of the positive periodic solution. |
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| Keywords: | competition and diffusion system delay global asymptotic stability Lyapunov function periodic solution |
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