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具脉冲效应的时滞周期捕食与被捕食系统正周期解的存在性(英文) 被引量：3

EXISTENCE OF POSITIVE PERIODIC SOLUTION FOR A DELAY PERIODIC PREDATOR-PREY SYSTEM WITH IMPULSIVE EFFECT
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摘要 本文研究一类具脉冲效应的时滞周期捕食与被捕食系统,利用重合度理论中的方法,获得该系统至少存在一个正周期解的充分条件. In this paper, we investigate a classical delay periodic predator-prey system with impulsive effect. by using the method of coincidence degree theory. Sufficient conditions are obtained for the existence of at least one strictly positive periodic solution of this system.
作者 梁志清 陈兰荪
机构地区 玉林师范学院数学与计算机科学系 中国科学院数学与系统科学研究院
出处 《数学杂志》 CSCD 北大核心 2005年第6期591-598,共8页 Journal of Mathematics
基金 SupportedbyNationalNaturalScienceFoundationofChina(10171106)
关键词 正周期解 脉冲效应 重合度 periodic solution impulsive effect coincidence degree
分类号 O175.12 [理学—基础数学]
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参考文献10

  • 1Ruan Shigui. Absolute stability conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays[J]. Quar. Appl. Math., 2001, 59(1):159-173.
  • 2Yasuhisa Saito, Tadayuki Harau, Ma Wanbiao. Necessary and sufficient conditions for permanence of global stability and a Lotka-Volterra system with two delays[J]. J. Math. Anal. Appl. , 1999,236(2):534-556.
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  • 8Dong Yujun, Zhou Erxin. An application of coincidence degree continuation theorem in existence of solutions of impulsive differential equations[J]. J. Math. Anal. Appl. 1996,197(3) :875-889.
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数学杂志
2005年 第6期

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