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一类时滞周期捕食-食饵模型的持久性 被引量：7

Permanence of a class of periodic predator-prey system with delay
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摘要 研究一类具有Beddington-Deangelis功能性反应函数和无限时滞的周期捕食-食饵模型,且食饵具有幼年与成年两个阶段,利用比较原理获得保证系统持久性的充分必要条件. A class of periodic predator-prey system with Beddington-Deangelis functional response function and infinite delay was investigated, where the prey had two age stages history immature and mature. Sufficient and necessary conditions which guarantee the predator and prey species to be permanence were obtained by using comparison principle.
作者 霍海峰 付强 孙小科 张小兵 向红
机构地区 兰州理工大学理学院
出处 《兰州理工大学学报》 CAS 北大核心 2009年第3期134-138,共5页 Journal of Lanzhou University of Technology
基金 教育部科学技术研究重点项目(209131)
关键词 功能性反应 无限时滞 阶段结构 持久性 functional response infinite delay stage structure permanence
分类号 O175.1 [理学—基础数学]
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参考文献9

  • 1CUI J A,SONG X Y.Permanence of a predator-prey system with stage structure[J].Discret Contin Dyn Ser B,2004,4(3):547-554.
  • 2CUI J A,SUN Y.Permanence of predator-prey system with infinite delay[J].Electron J Differ Equat,2004,81:1-12.
  • 3CHEN F D.Permanence of periodic Holling type predator-prey system with stage Structure for prey[J].Appl Comput,2006,182:1849-1860.
  • 4ZHANG H,CHEN L S.Permanence and extinction of a periodic predator-prey delay system with functional response and stage structure for prey[J].Math Comput,2007,184:931-944.
  • 5ZHANG Z Q.Periodic solutions of a predator-prey system with stage-structures for predator and prey[J].J Math Anal Appl,2005,302(2):291-305.
  • 6CUSHING J M.Periodic time dependent predator-prey system[J].SIAM J Math,1977,32:82-95.
  • 7HUO H F,LI W T,NIETO J J.Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response[J].Chaos Solitons Fractals,2007,33(2):505-512.
  • 8CUI J,CHEN L,WANG W.The effect of dispersal on population growth with stage-Structure[J].Comput Math Appl,2002,39:91-102.
  • 9霍海峰,张良,苗黎明.周期捕食-食饵模型的持续生存和正周期解[J].兰州理工大学学报,2007,33(5):132-135. 被引量：12

二级参考文献9

  • 1AZIZ-ALAOU M A, DAHER OKIYE M. Boundedness and global stability for a predator-prey model with modified lesliegower and holling-type Ⅱ schemes [J]. Appl Math Lett, 2003, 6:1 069-1 075.
  • 2ZHAO X Q, The qualitative analysis of n-species Lotaka-Volterra periodic competition systems [J]. Math Comp Modeling. 1991,15:3-8.
  • 3GAINES R E, MAWHIN J L. Coincidence degree and nonlinear differential equations[M]. Berlin: Springer, 1977.
  • 4NUSSBAUM R. Periodic solutions of some nonlinear autonomous functional differential equations [J]. J Differential Equs, 1973,14 : 368-394.
  • 5HUO H F. Permanence and global attractivity of delay diffusive prey-predator systems with the michaelis-mentent functional response,an international [J]. J Comp Math with Appl, 2005,49:407-416.
  • 6HUO H F, LI W T. Periodic solutions of a delayed ratio-dependant food chain mode [J]. Taiwan J Math, 2004, 8: 211- 222.
  • 7HUO H F, LI W T, CHENG S S. Periodic solutions of model with delays [J]. Int Appl Math, 2003,12:18-21.
  • 8KUANG Y. Delay differential equations with applications in population dynamics [M]. Boston: Academic Press, 1993.
  • 9霍海峰,向红,王柏岩,孙建平.时滞Schoner竞争模型周期解的存在性[J].甘肃工业大学学报,2003,29(2):117-120. 被引量：2

共引文献11

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  • 1凌智,林支桂.三种群互惠模型抛物系统解的整体存在与爆破[J].生物数学学报,2007,22(2):209-214. 被引量：7
  • 2ZHAO Z,CHEN L,SONG X.Impulsive vaccination of a SEIR epidemic mndel with time delay and nonlinear incidence rate[J].Mathematics and Computer in Simulation,2008,79(3):500-510.
  • 3ZHANG T,TENG Z.Global asymptotic stability of a delayed SEIRS epidemic model with saturation incidence[J].Chaos,Solitons and Fractals,2008,37(5):1456-1468.
  • 4ZHANG T,TENG Z.Extinction and permanence for a pulse vaccination delayed SEIRS epidemic model[J].Chaos.Solitons and Fractals,2009,39:2411-2425.
  • 5WANG X,TAO Y,SONG X.Pulse vaccination on SEIR epidemic model with nonlinear incidence rate[J].Appl Math Comput,2009,210:398-404.
  • 6GAO S,CHEN L.Pulse vaccination strategy in a delayed SIR epidemic model with vertical transmission[J].Discrete Contin Dyn Syst Ser B,2007,7(1):77-86.
  • 7KUANG Y.Delay differential equation with application in population dynamics[M].New York:Academic press,1993.
  • 8KOELLE K, PASCUAL M, YUNUS M. Pathogen adaptation to seasonal forcing and climate change [J].Proe R Soe Lond B, 2005,272 : 971-977.
  • 9KOELLE K, PASCUAL M, YUNUS M. Serotype cycles in cholera dynamics [J]. Proc R Soe Lond B, 2006, 273: 2879- 2886.
  • 10ANDERSEN M D, NEUMANN N F. Giardia intestinalis: new insights on an old pathogen[J]. Rev Med Microbiol, 2007,18 (2) :35-42.

引证文献7

二级引证文献25

兰州理工大学学报
2009年 第3期

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