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带时滞的离散4种群Lotka-Volterra型食物链模型周期解

Periodic Solutions of a Discrete Four-species Lotka-Volterra Type Food-chain Model with Time Delays
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摘要 主要建立了带时滞的离散4种群Lotka-Volterra型食物链模型.利用重合度理论的连续性定理和一些分析技术,导出了系统周期正解的存在性. We investigated a discrete four-species Lotka-Volterra type food-chain model with time delays. Using continuation theorem in coincidence degree theory and some analytic techniques, we derived sufficient conditions for the existence of positive periodic solutions of the system.
出处 《甘肃科学学报》 2009年第3期5-9,共5页 Journal of Gansu Sciences
基金 国家自然科学基金项目(10771171) 甘肃省"555"创新人才工程资助项目 西北师范大学科技创新工程项目
关键词 食物链模型 周期解 重合度 时滞 food-chain model periodic solutions degree of coincidence time delay
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参考文献8

  • 1H F Huo,W T Li. Existence and Global Stability of Periodic Solutions of a Discrete Predator-prey System with Delays[J]. Appl. Math. Comput, 2004,153 : 337-351.
  • 2R Xu,L S Chen,F L Hao. Positive Solutions of an n-species Lotka-Volterra Type Food-chain Model with Time Delays[J]. Appl. Math. Comput, 2005,171 :511-530.
  • 3姚晓洁,秦发金.具有偏差变元的高阶Lienard方程周期解的存在性[J].甘肃科学学报,2007,19(2):40-45. 被引量:1
  • 4R Xu, L S Chen, F L Hao. Positive Solutions of a Discrete Time Lotka-Volterra Type Food-chain Model with Delays[J]. Appl. Math. Comput, 2005,171 : 91-103.
  • 5R Y Zhang, Z C Chen,J Wu. Positive Solutions for a Lotka-Volterra Mutualism System Sith Several Delays[J]. Math. Comput. Model, 2007,31:1 960-1 969.
  • 6R E Gains J L Mawhin. Coincidence Degree and Nonlinear Differential Equations[M]. Springer, Belin, 1997.
  • 7M Fan, K Wang. Periodic Solution of a Discrete Time Nonautonomous Ratio-Dependent Predator-prey Sys tem[J]. Math. Comput. Model, 2002,35:951-961.
  • 8R Y Zhang, Z C Chen,J Wu. Positive Periodic of a Single Species Discrete Population Model with Periodic Harvest/stock[J]. Comput. Math, Appl, 2002,39 : 477-485.

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