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THE PERMANENCE OF A DISCRETE PREDATOR-PREY SYSTEM WITH TIME DELAYS

THE PERMANENCE OF A DISCRETE PREDATOR-PREY SYSTEM WITH TIME DELAYS
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摘要 In this paper, a discrete predator-prey system with time delay is considered. Sufficient conditions which guarantee the permanence of all positive solutions to this discrete system are obtained. In this paper, a discrete predator-prey system with time delay is considered. Sufficient conditions which guarantee the permanence of all positive solutions to this discrete system are obtained.
出处 《Annals of Differential Equations》 2011年第2期176-182,共7页 微分方程年刊(英文版)
基金 supported by the National Natural Sciences Foundation of China (11071283) the Sciences Foundation of Shanxi (2009011005-3) the Major Subject Foundation of Shanxi
关键词 PERMANENCE PREDATOR-PREY DISCRETE DELAY permanence predator-prey discrete delay
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  • 1Berryman, A.A. The origins and evolution of predator-prey theory. Ecology, 75:1530-1535 (1992)
  • 2Ding, S.H. On a kind of predator-prey system. SIAM Journal on Mathematical Analysis, 20:1426-1435(1989)
  • 3Freedman, H,I, Deterministic mathematical models in population ecology. Marcel Dekker, New York, 1980
  • 4Gaines, R,E,, Mawhin, J.L. Coincidence degree and nonlinear differential equation. Springer-Verlag, Berlin,1977
  • 5Jose, F., Santiago, V. An approximation for prey-predator modles with delay. Physic D, 110:313-322(1997)
  • 6Kooij, R,E, Zegeling, A, Qualitative properties of two-dimensional predator-prey systems. Nonlinear Analysis, TMA, 6:693-715 (1997)
  • 7Li, Y,K, On a periodic neural delay Lotka-Volterra system. Nonlinear Analysis, 39:767-778 (2000)
  • 8Yang, K., Freedman, H.I. Uniqueness of limit cycles in Gause type models of predator-prey systems.Mathematical Biosciences, 88:67-84 (1988)
  • 9Wu-jun Sun, Zhi-dong Teng, Yuan-hong YuDepartment of Applied Mathematics. Shanghai Jiaotong University, Shanghai 200030, ChinaDepartment of Mathematics, Xinjiang University. Urumqi 830046.Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Permanence in Nonautonomous Predator-prey Lotka-Volterra Systems[J].Acta Mathematicae Applicatae Sinica,2002,18(3):411-422. 被引量:2
  • 10李晓月,范猛,王克.具反馈控制和无穷时滞单种群模型周期正解[J].高校应用数学学报(A辑),2002,17(1):13-21. 被引量:15

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