| 一类Lotka-Volterra捕食-竞争扩散系统的概周期解 |
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| 引用本文： | 孟新柱,董焕河,张宁.一类Lotka-Volterra捕食-竞争扩散系统的概周期解[J].数学研究,2004,37(4):387-394. |
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| 作者姓名： | 孟新柱 董焕河 张宁 |
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| 作者单位： | 山东科技大学基础部,青岛,黄岛,266510 |
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| 基金项目： | 国家自然科学基金资助项目 (1 0 1 71 0 56) |
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| 摘 要： | 研究了一类带扩散项的n种群Lotka-volterra非自治捕食-竞争系统，应用Liapunov泛函方法得到系统持久生存和存在唯一全局渐近稳定正概周期解的新的充分条件，并举例说明定理的应用．
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| 关 键 词： | N种群捕食-竞争扩散系统 持久生存 全局渐近稳定性 概周期解 |
| 修稿时间： | 2004年3月8日 |
Almost Periodic Solutions for a Lotka-Volterra Prey-Competition System with Dispersion |
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| Meng Xinzhu,Dong Huanhe,Zhang Ning.Almost Periodic Solutions for a Lotka-Volterra Prey-Competition System with Dispersion[J].Journal of Mathematical Study,2004,37(4):387-394. |
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| Authors: | Meng Xinzhu Dong Huanhe Zhang Ning |
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| Abstract: | In this paper, we discuss a nonautonomous n species Lotka-Volterra prey-competition system with diffusion. By using Liapunov functionals, we obtain new sufficient conditions for persistence and that the system has a unique positive almost periodic solution which is globally asymptotically stable. An example shows application for our theorems. |
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| Keywords: | N-species Prey-Competition Dispersal Systems Persistence Global Asymptotic Stability almost periodic solution |
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