ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION 被引量：4

ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION

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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, 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,

作者 Meng Xinzhu Zhang Tongqian Liu Hongxia

机构地区 Dept. of Basic Courses

出处《Annals of Differential Equations》 2005年第3期378-384,共7页 微分方程年刊（英文版）

基金 Supported by the National Natural Science Foundation of China (10171056).

关键词 competition and diffusion system delay global asymptotic stability Lyapunov function periodic solution competition and diffusion system, delay, global asymptotic stability, Lyapunov function, periodic solution

分类号 O17 [理学—数学]

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Annals of Differential Equations

2005年第3期

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ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION 被引量：4

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