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一类基于比率的且具有收获率和时滞的捕食系统的周期解 被引量：4

The periodic solutions of ratio-dependent predator-prey model with harvesting and time delay
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摘要 研究一类基于比率且具有收获和时滞的捕食系统.证明了系统正周期解的存在性,并通过构造适当的Lyapunov泛函,给出了正周期解全局稳定的充分条件. In this paper, we consider the Ratio-dependent predator-prey system with harvesting and time delay. The existence of positive periodic solution is proved, and by constructing appropriate Lyapunov function, sufficient conditions are obtained to ensure the global stability of positive periodic solution.
作者 王晖
机构地区 内蒙古民族大学数学学院
出处 《纯粹数学与应用数学》 CSCD 2013年第5期520-528,共9页 Pure and Applied Mathematics
关键词 时滞 收获率 比率依赖 周期解 LYAPUNOV泛函 time delay, harvesting, ratio-depedent, positive periodic solution, Lyapunov function
分类号 O175.13 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Edoardo Beretta. Global analyses in some delayed ratio-dependent predator-prey systems [J]. Nonlinear analysis Theory Math Applic., 1997,32(3):381-408.
  • 2Tang S Y, Chen L S. Global qualitative analysis for a ratio-dependent predator-prey model with delay [J]. Math. Anal. Appl., 2002,266:401-419.
  • 3吴亭.基于比率依赖Beddington-DeAngelis功能反应的离散n-种群竞争-捕食系统的持久性[J].纯粹数学与应用数学,2011,27(4):437-441. 被引量：6
  • 4Zhang R Y, Wang Z C, Chen Y, et al. Periodic solution of a single species discrete population model with periodic harvest/stock [J]. Computers and Mathematics with Applications, 2000,39:77-90.
  • 5Zhang Z Q, Tang H S. Four positive periodic solutions for the first order differential system [J]. J. Math. Anal. Appl., 2007,332:123-136.
  • 6秦发金,姚晓洁,黄燕革.一类具有收获率的时滞阶段结构捕食系统的多重正周期解[J].数学的实践与认识,2010,40(4):120-127. 被引量：4
  • 7Ganes R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equation [M]. Berlin: Springer Verlag, 1997.
  • 8Barbalat I. Systems drequations differentielle droscillations nonlinraires [J]. Rev. Roumaine Math. Pures. Appl., 1959,4:267-270.

二级参考文献11

共引文献8

同被引文献27

  • 1程荣福,赵明.一类捕食者与被捕食者模型的持久性与稳定性[J].生物数学学报,2008,23(2):289-294. 被引量：18
  • 2赵晓华,易奇志.PERMANENCE AND PERIODIC SOLUTION FOR NONAUTONOMOUS COMPETITION-PREDATOR SYSTEM WITH TYPE II FUNCTIONAL RESPONSE[J].Annals of Differential Equations,2003,19(3):464-473. 被引量：3
  • 3陈凤德,史金麟,陈晓星.多滞量捕食模型的正周期解[J].生物数学学报,2005,20(1):51-57. 被引量：3
  • 4Teng Zhidong. Uniform persistence of the periodic predator-prey Lotka-Volterra systems [J]. Appl.Anal.,1999,72:339-352.
  • 5Cui Jingan, Sun Yonghong. Permanence of predator-prey system with infinite delay [J]. Electronic Journalof Differential Equations, 2004,81:1-12.
  • 6Lu Zhengyi, Wang Wendi. Permanence and global attractivity for Lotka-Volterra difference systems [J]. J.Math. Biol., 1999,39(3):269-282.
  • 7Li Yongkun, Zhu Lifei. Existence of positive periodic solutions for difference equations with feedback control[J]. Applied Mathematics Letters, 2005,18:61-67.
  • 8Chen Fengde. Permanence of a single species discrete model with feedback control and delay [J]. AppliedMathematics Letters, 2007,20:729-733.
  • 9Saito Y, Ma Wanbiao, Hara T. A necessary and sufficient condition for permanence of a Lotka-Volterradiscrete system with delays [J]. J. Math. Anal. Appl., 2001,256(1):162-174.
  • 10Saito Y, Hara T, Ma Wanbiao. Harmless delays for permanence and impersistence of a Lotka-Volterradiscrete predator-prey system [J]. Nonlinear Anal., 2002,50:703-715.

引证文献4

二级引证文献2

纯粹数学与应用数学
2013年 第5期

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