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Attractivity in a Delayed Three-species Ratio-dependent Predator-prey System without Dominating Instantaneous Negative Feedback 被引量：1

Attractivity in a Delayed Three-species Ratio-dependent Predator-prey System without Dominating Instantaneous Negative Feedback
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摘要 Abstract A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system. Abstract A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.
作者 RuiXu Lan-sunChen M.A.J.Chaplain
机构地区 DepartmentofMathematics InstituteofMathematics DepartmentofMathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第2期317-332,共16页 应用数学学报（英文版）
基金 Supported by (Grant DMS-9803323).
关键词 Keywords Time delay uniform persistence global attractivity Keywords Time delay, uniform persistence, global attractivity
分类号 Q141 [生物学—生态学] O175.7 [理学—基础数学]
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参考文献15

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同被引文献8

  • 1Tapan S.Dynamical analysis of a delayed ratio-dependent Holling-Tanner predator-prey model[J].J Math Anal Appl,2009,358:389-402.
  • 2Celik C.The stability and Hopf bifurcation for a predator-prey system with time delay[J].Chaos Solitons and Fractals,2008,37(1):87-99.
  • 3Agiza H N,ELabbasy E M.Chaotic dynamics of a discrete prey-predator model with Holling type Ⅱ[J].Nonlinear Anal,2009,10(1):116-129.
  • 4Robert S C,Chirs C,Ruan S C.Intraspecific interference and consumer-resource dynamics[J].Discrete Contin Dynam Syst Ser,2004,4B(3):527-546.
  • 5Lliu W,Xiao D,Yi Y.Relaxation oscillations in a class of predator prey systems[J].Differential Equations,2003,188 (1):306-331.
  • 6Tao Z,Kuang Y,Smith H L.Global existence of periodic solutions in a class of delayed Cause-type pre-dator-prey systems[J].Nonlinear Anal TMA,1997,28(8):1373-1 394.
  • 7Fan M,Wang K.Periodicity in a delayed ratio-dependent predator-prey system[J].J Math Anal Appl,2001,262:179-190.
  • 8Gaines R E,Mawhin J L.Coincidence Degree and Nonlinear Differential Equations[M].Berlin; Springer,1977.

引证文献1

Acta Mathematicae Applicatae Sinica
2003年 第2期

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