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一类具有阶段结构和时滞的捕食与被捕食系统(英文) 被引量：7

A predator-prey system with stage structure and delay
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摘要 考虑一类食饵种群具有阶段结构和捕食者种群具有阶段结构与时滞的两种群捕食系统 .分析了系统的非负不变性、边界平衡点性质及全局渐近稳定性 .在这个系统中 ,随着时滞的增加 ,时滞能引起稳定性。 A system of retarted functional differential equation is proposed as a predator-prey model with stage structure in the prey.Mathematical analyses of the model equations with regard to invariance of non-negativity,nature of equilibria and global stability are analyzed.It is shown that in this model the time delay can cause a stable equilibrium to become unstable.
作者 王豪 郑丽丽
机构地区 信阳教育学院 信阳师范学院数学与信息科学学院
出处 《信阳师范学院学报（自然科学版）》 CAS 2004年第2期140-143,165,共5页 Journal of Xinyang Normal University(Natural Science Edition)
基金 Supported by the NSF of Henan Province( No.0 2 1 1 0 1 0 40 0 )
关键词 捕食与被捕食系统 阶段结构 全局渐近稳定性 HOPF分支 predator-prey system stage-structure global stability Hopf bifurcation
分类号 O175.1 [理学—基础数学]
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参考文献17

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同被引文献34

  • 1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
  • 2徐瑞,郝飞龙,陈兰荪.一个具有时滞和阶段结构的捕食-被捕食模型[J].数学物理学报（A辑）,2006,26(3):387-395. 被引量：30
  • 3胡殿旺.一类阶段结构捕食系统的持久性和全局稳定性[J].数学理论与应用,2007,27(1):68-70. 被引量：6
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  • 5Gopalsarny K. Stability and oscillation in delay differential equations of population dynamics[M]. Kluwer Academic, 1992.
  • 6Kuang Y. Delay differential equations with applications in population dynamics[ M]. London:Academic Press, 2004.
  • 7Aiello W G, Freedman H I. A Time Delay Model of Single-species Growth with Stage Structure[ J]. Math Biosci (S0025-5564), 1990,101:139- 153.
  • 8Cao Y,Fan J,Card T C. The Effects of Stage-structured Population Growth Models[ J]. Nonli Anal:Th Math Appl(S0362-546X) ,1992,16(2) : 95-105.
  • 9Cui J A, Chen L S, Wang W D. The Effect of Dispersal on Population Growth with Stagestructure [ J ]. Computers Math Applic (S0898-1221), 2000,39:91-102.
  • 10Diekmann O, Nisbet R M, Gurney W S C, et al. Simple Mathematical Models for Cannibalism:a Tique and a New Approach [ J ]. Math Biosci ( S0025-5564 ), 1986,78:21-46.

引证文献7

二级引证文献13

信阳师范学院学报（自然科学版）
2004年 第2期

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