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PERSISTENCE AND STABILITY OF A DISCRETE PERIODIC PREDATOR-PREY MODEL

PERSISTENCE AND STABILITY OF A DISCRETE PERIODIC PREDATOR-PREY MODEL
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摘要 In this paper, we investigate the persistence and global asymptotic stability of a discrete predator-prey system. Based on Lyapunov functions, several criteria are established concerning the persistence and globally asymptotic stability of difference systems. In this paper, we investigate the persistence and global asymptotic stability of a discrete predator-prey system. Based on Lyapunov functions, several criteria are established concerning the persistence and globally asymptotic stability of difference systems.
作者 Xu Rongcong Xia Yonghui
机构地区 College of Math. and Computer Science
出处 《Annals of Differential Equations》 2007年第4期530-535,共6页 微分方程年刊（英文版）
基金 the Natural Science Foundation of Fujian Province under Grant (No. S0750008) the Foundation of Fujian Education Bureau under Grant (JB06029)
关键词 PERSISTENCE difference equation Lotka-Volterra systems asymptotical stability persistence difference equation Lotka-Volterra systems asymptotical stability
分类号 O17 [理学—基础数学]
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参考文献8

  • 1Y.Saito,W.Ma,and T.Hara.A necessary and sufficient condition for permenence of a Lotka-Volterra discrete system with delays[].Journal of Mathematical Analysis and Applications.2001
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  • 3Y.H.Xia,J.Cao,S.S.Cheng.Periodicity in a Lotka Volterra mutualism system with several delays[].Applied Mathematical Modelling.2007
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  • 6Meng Fan,Yang Kuang.Dynamics of a non-autonomous predator-prey system with the Beddington-DeAngelis functional response[].J Mathematical Analysis and Applications.2004
  • 7WANG Wendi,LU Zhengyi.Global stability of discrete models of Lotka-Volterra type[].Nonlinear Analysis.1999
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Annals of Differential Equations
2007年 第4期

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