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一类多时滞差分系统的定性性质

Qualitative Properties of a Class of Difference System with Different Delays
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摘要 考察一类具多时滞的离散Lotka-Volterra互惠模型.利用迭代理论、M—矩阵理论、单调理论,分析该系统的持久存在性和吸引性,得到了该差分系统一致持久存在和其正解全局吸引的充分条件. In this paper, we investigate a class of discrete - time Lotka - Volterra facultative mutualism system with different delays. By using the iteration method , M -matris theory and monotonous theory, the sufficient conditions are obtained for global attractivity and boundedness and persistence of positive solutions of this difference system.
出处 《湖南工程学院学报(自然科学版)》 2006年第3期77-79,共3页 Journal of Hunan Institute of Engineering(Natural Science Edition)
关键词 差分系统 互惠模型 持久存在性 吸引性 difference system facultative mutualism system boundedness and persistence attractivity
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参考文献3

  • 1Debasis Mukherjee.Permanence and global attractivity for facultativemu-tualism system with delay[J].Math.Meth.Appl.Sci.,2003.26:1-9.
  • 2Chen L S,Lu Z Y,Wang W D.The effect of delays on the permanencefor Lotka-Volterra systems[J].Appl.Math.Lett.,1995,8(4):71 -73.
  • 3Tokumaru H,Adachi N,Ametmiya T.Macroscopic stability of interconnect-ted systems[M].In:IFAC 6th World Congress.Boston:Porch,1975.551-559.

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