| 脉冲-扩散周期竞争系统解的渐近行为 |
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| 引用本文： | 窦家维,李开泰.脉冲-扩散周期竞争系统解的渐近行为[J].生物数学学报,2003,18(2):159-166. |
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| 作者姓名： | 窦家维 李开泰 |
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| 作者单位： | 西安交通大学,理学院,陕西,西安,710049 |
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| 基金项目： | The Project is Supported by the National Natural Foundation of China(1007147),by the"The Important Science Foundation of Shaanxi Normal University |
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| 摘 要： | 研究了在周期变化环境中具有扩散及种群密度可能发生突变的两竞争种群动力系统的数学模型．模型由反应扩散方程组以及初边值及脉冲条件组成．文章建立了研究模型的上下解方法,获得了一些比较原理．利用脉冲常微分方程的比较定理以及利用相应的脉冲常微分方程的解控制和估计所讨论模型的解,研究了系统模型的解的渐近性质．
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| 关 键 词： | 脉冲—扩散 竞争 种群密度 系统模型 渐近性质 种群动力系统 |
Asymptotic Behavior of Solutions of Periodic Impulse-Diffusion Competition System |
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| DOU Jia-wei LI Kai-tai.Asymptotic Behavior of Solutions of Periodic Impulse-Diffusion Competition System[J].Journal of Biomathematics,2003,18(2):159-166. |
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| Authors: | DOU Jia-wei LI Kai-tai |
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| Abstract: | The mathematical model of two competing species dynamical system in a periodically changing environment with diffusion and instantaneous changes in the population densities is investigated. The model is described by a coupled system of reaction-diffusion equations together with some initial boundary value and impulses conditions. The upper-lower solution method is established and some comparison principles are obtained. The asymptotic properties of the system are researched by using the comparison theorem of impulsive ordinary differential equations and using the solutions of dominating impulsive ordinary differential equation to control and estimate the solutions of the system. |
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| Keywords: | Impulse-diffusion equations Upper and lower solution Comparison theorem Asymptotic property |
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