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具竞争扩散Lotka-Volterra系统概周期解研究
引用本文:欧伯群,秦发金.具竞争扩散Lotka-Volterra系统概周期解研究[J].中国海洋大学学报(自然科学版),2004,34(4):678-684.
作者姓名:欧伯群  秦发金
作者单位:1. 湛江师范学院数学与计算科学学院,广东,湛江,524048
2. 广西柳州师专数学系,广西,柳州,545003
摘    要:讨论一类推广的具竞争扩散Lotka—Volterra系统,利用微分不等式,证明了该系统概周期解的存在唯一性及其在壳扰动下的稳定性;推广和改进了秦发金、罗桂烈等在Lotka—Volterra系统概周期解的结果。

关 键 词:竞争扩散系统  概周期解  存在唯一性  壳扰动
文章编号:1672-1574(2004)04-678-07
修稿时间:2003年9月25日

Study on the Almost Periodic Solution of a Class of Competitive Diffusive Lotka-Volterra Systems
OU Bo qun ,QIN Fa jin.Study on the Almost Periodic Solution of a Class of Competitive Diffusive Lotka-Volterra Systems[J].Periodical of Ocean University of China,2004,34(4):678-684.
Authors:OU Bo qun  QIN Fa jin
Institution:OU Bo qun 1,QIN Fa jin 2
Abstract:A kind of generalized Lotka Volterra systems with competition spread is considered in this paper. By using differential inequalities we discuss the existence of a positive almost periodic solution and its stability under disturbances from the hull. The results for Lotka Volterra systematic almost periodic solution by QINFaJin and LUO GuiLie are generalized and improved.
Keywords:competition spread system  almost periodic solution  the existence and uniqueness  stability under disturbances from the hull
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