期刊文献+

一类带有时滞和阶段结构的非自治捕食模型的动力学性质 被引量:1

Dynamics of a Nonautonomous Predator-prey Model with Stage-structure and Time Delay
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摘要 研究了一类具有时滞和阶段结构的非自治捕食系统(专捕幼年食饵)解的渐近性质,得到了系统持续和全局渐近稳定的条件. The asymptotic properties of the solution for a nonautonomous predator-prey systems with stage structure and time delay are studied, and the conditions under which systems are permanence and globally stability are obtained.
出处 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2008年第1期24-26,共3页 Journal of Xinyang Normal University(Natural Science Edition)
基金 河南省教育厅自然科学基金项目(200510476002)
关键词 时滞 阶段结构 非自治 持续生存 全局吸引 time delay stage-structure nonautonomous permanence global stability
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参考文献8

  • 1Goh B S. Stability in Two Species Interactions[J]. Math Biol(S0303-6812), 1976,3:313-318.
  • 2Hastings A. Global Stability in Two Species Systems [ J ]. Math Biol( S0303-6812 ), 1978,20 (5) :399-403.
  • 3He X I. Stability and Delays in a Predator-prey System [ J ]. Math Anal Appl ( S0022-247 X ), 1996, 198 : 355 -370.
  • 4陈兰荪,宋新宇.非自治阶段结构捕食系统[J].平顶山师专学报,1999,14(2):1-5. 被引量:12
  • 5Song X Y, Chen L S. Optimal Harvesting and Stability for a Predator-prey System with Stage Structure[J]. Acta Mathematicae Applicatae Sinica: English Series ( S0252-9602 ) ,2002,18 ( 3 ) : 423-430.
  • 6Song X Y, Chen L S. Optimal Harvesting and Stability for a Two Species Competitive System with Stage Structure[ J ]. Mathematical Biosciences ( S0025-5564 ), 2001,170(2) : 173-186.
  • 7郑丽丽.三种群阶段结构竞争系统的稳定性[J].信阳师范学院学报(自然科学版),2003,16(2):129-132. 被引量:2
  • 8蔡礼明,方勤华.一类带有阶段结构的比率依赖捕食系统周期解[J].信阳师范学院学报(自然科学版),2004,17(3):255-260. 被引量:3

二级参考文献23

  • 1KUANG Y,BERETTA E.Global qualitative analysis of a ratio-dependent predatorprey system[J].Math Biol,1998,36:389-406.
  • 2KUANG Y.Rich dynamics of Gause-type ratio-dependent predator-prey system[J].Fields Institute Communications,1999,21:325-337.
  • 3HSU S B,HWANG T W,KUANG Y.Global analysis of the Michaelis -Menten type ratio-dependent predator-prey system[J].Math Biol,2001,4 2(6):489-506.
  • 4XIAO D,RUAN S.Global dynamics of a ration-dependent predator-prey system[J].Maty Biol,2001,43,268-290.
  • 5LI Y.Periodic solution of a periodic delay predator-prey system[J].Proc Amer Math Soc,1999,127:1331-1335.
  • 6LI Y.On a periodic neutral delay Lotka-Volterra system[J].Nonlinear Anal,2000,39(6):767-778.
  • 7GAINES R E,MAWHIN J L.Coincidence degree and nonlinear differential equations[M].Springer,Berlin,1977.
  • 8SONG Xinyu,CHEN Lansun.Persistence and periodic orbits for two species predator prey system with diffusion[J].Canad Appl Math Quart ,1998,6(3):233-244.
  • 9CUSHING J M.Integrodifferential equations and delay models in population dynamics[J].Lecture Notes in Bio-mathematics,Vol.20,Spring -Verlag,New York:1977.
  • 10CUSHING J M.Periodic time-dependent predator-prey[J ].SIAM Appl Math,1966,32:82-95.

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