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一类离散的Lotka-Volterra竞争系统的概周期解

Almost Periodic Solutions of a Discrete Lotka-Volterra Competition System
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摘要 利用极限和微分以及不等式放缩的方法,讨论了一类Lotka-Volterra竞争系统的解的有界性,得到了其存在唯一且全局吸引的概周期解的充分条件,推广了Zhong Li的结论. By using the method of limit,differential and the grading of inequalities,the boundedness of solutions of a class of Lotka-Volterra competition system was discussed.Sufficient conditions were obtained for the existence of a unique almost periodic solution which is globally attractive.The conclusions of Zhong Li were generalized.
作者 许鹏
出处 《中北大学学报(自然科学版)》 CAS 北大核心 2011年第1期26-28,共3页 Journal of North University of China(Natural Science Edition)
关键词 LOTKA-VOLTERRA竞争系统 概周期解 全局吸引 Lotka-Volterra competition system almost periodic solution global attraction
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参考文献3

  • 1Li Z,Chen F D.Almost periodic solutions of a discrete almost periodic logistic equation Math[J].Comput.Modelling,2009,50:254-259.
  • 2Chen Y M,Zhou Z.Stable periodic solution of a discrete periodic Lotka-Volterra competiti on system[J].J.Math.Anal.Appl.,2003,277(1):358-366.
  • 3Zhang S N.Almost periodic solutions of delay difference systems[J].Appl.Math.Comput.,2002,131:497-516.

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