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具反馈控制差分Leslie-Gower捕食系统的持久性和全局吸引性 被引量：2

Permanence and global attractivity of a discrete Leslie-Gower predator-prey model with feedback controls
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摘要 研究具反馈控制差分Leslie-Gower捕食系统,首先得到保证该系统解的持久性,其次在系数是周期的情况下得到唯一全局吸引性周期解的充分条件. We investigated a discrete Leslie - Cower predator - prey with feedback controls. We first obtain the permanence of system. Assuming that the coeffcients are periodic, we obtain the global attractivity of the positive periodic solution.
作者 李忠
机构地区 福州大学数学与计算机科学学院
出处 《福州大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第3期312-316,共5页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省高等学校新世纪优秀人才支持计划资助项目(0330-003383)
关键词 反馈控制 持久性 全局吸引 差分 Leslie—Gower feedback controls permanence global attractivity discrete Leslie - Cower.
分类号 O175.13 [理学—基础数学]
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参考文献6

  • 1Huo H F,Li W T.Stable periodic solution of the discrete periodic Leslie-Cower predator-prey model[J].Mathematical and Computer Modelling,2004,40:261-269.
  • 2Chen F D.Permanence of a single species discrete model with feedback control and delay[J].Applied Mathematics Letters,2007,20:729-733.
  • 3Chen X X,Chen F D.Stable periodic solution of a discrete periodic Lotka-Volterra competition system with a feedback control[J].Applied Mathematics and Computation,2006,181:1 446-1 454.
  • 4Chen F D.Permanence for the discrete mutualism model with time delays[J].Mathematical and Computer Modelling,2008,47:431-435.
  • 5Chen F D,Wu L P,Li Z.Permanence and global attractivity of the discrete Gilpin-Ayala type population model[J].Computers and Mathematics with Applications,2007,53(8):1 214-1 227.
  • 6Li Z,Chen F D.Extinction in two dimensional discrete Letka-Volterra competitive system with the effect of toxic substances[J].Dynamics of Continuous,Discrete and Impulsive Systems Series B,2008,15(2):165-178.

同被引文献16

  • 1鲁红英,于刚.具有时滞和反馈控制的离散Leslie系统的概周期解[J].应用泛函分析学报,2013,15(1):88-96. 被引量：3
  • 2Aziz-Alaoui M A, Daher Okiye M. Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes[J]. Applied Mathematics Letters, 2003, 16(7): 1069- 1075.
  • 3Yu S B. Global asymptotic stability of a predator-prey mQdel with modified Leslie-Gower and Holling-type II schemes[J]. Discrete Dynamics in Nature and Society, Volume 2012, Article ID 208167, 8 pages.
  • 4Guo H J, Song X Y. An impulsive predator-prey system with modified Leslie-Gower and Holling type Ⅱ schemes[J]. Chaos, Solitons and Fractals, 2008, 36(5): 1320-1331.
  • 5Song X Y, Li Y F. Dynamic behaviors of the periodic predator-preymodel with modified Leslie-Gower Holling-type Ⅱ schemes and impulsive effect[J]. Nonlinear Analysis: Real World Applications, 2008, 9(1): 64-79.
  • 6Zhu Y L, Wang K. Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes[J]. Journal of Mathematical Analysis and Applications, 2011, 384(2): 400-408.
  • 7陈兰荪,宋新宇,陆征一.数学生态学系统与研究方法[M].成都:四川科学技术出版社,2003.
  • 8Wang L L, Fan Y H. Permanence for a discrete Nicholson's blowflies model with feedback control and delay[J]. International Journal of Biomathematics, 2008, 1(4): 433-442.
  • 9Yu G, Lu H Y. Permanence and almost periodic solutions of a discrete ratio-dependent Leslie system with time delays and feedback controls[J]. Abstract and Applied Analysis, Vol. 2012, Article ID 358594, 31 pages, 2012.
  • 10Chen F D. Permanence for the discrete mutualism model with time delays[J]. Mathematical and Computer Modelling, 2008, 47(3-4): 431-435.

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福州大学学报（自然科学版）
2009年 第3期

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