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无穷时滞Lotka-Volterra竞争系统的持久性 被引量:4

Permanence of the Lotka-Volterra competitive system with infinite delays
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摘要 给出了具有无穷时滞Lotka-Volterra竞争系统,即i(t)=yi(t)[ri(t)-∑j=1 n aij(t)yj(t)-∑j=1 n bij(t)∫-∞ t Kij(t-u)yj(u)du]永久持续生存的充分性条件. Sufficient conditions were obtained for the permanence of the Lotka-Volterra competitive system with infinite delays:yi(t)=yi(t)[ri(t)-∑j=1^ n aij(t)yj(t)-∑j=1^ n bij(t)∫-∞ ^t Kij(t-u)yj(u)du].
出处 《福建农林大学学报(自然科学版)》 CSCD 北大核心 2010年第2期222-224,共3页 Journal of Fujian Agriculture and Forestry University:Natural Science Edition
基金 福建农林大学校青年教师基金资助项目(2009017)
关键词 非自治 无穷时滞 持久性 nonautonomous infinite delay permanence
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参考文献4

  • 1FAN M,WANG K.Positive periodic solutions of a periodic integro-differential competition system with infinite delays[J].Z Angew Math Mech,2001(81):197-203.
  • 2CHEN Y M.New results on positive periodic solutions of a periodic integro-differential competition system[J].Appl Math Comput,2004,153(2):557-565.
  • 3MONTES F,VIVAS M.Extinction in a two dimensional Lotka-Volterra system with infinite delay[J].Nonlinear Analysis:Real World Applications,2006,7(5):1042-1047.
  • 4CHEN F D,ZHONG L,YUNJIN H.Note on the permanence of a competitive system with infinite delay and feedback controls[J].Nonlinear Analysis:Real World Applications,2006(5):680-687.

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