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扩散与时滞有关的单种群植物模型的全局稳定性(英文) 被引量:9

Global Stability for a Single-Species Plant Model with Delay in Diffusion
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摘要 研究了具有周期系数及扩散与时滞有关的单种群植物模型,得到了该系统存在全局渐近稳定的正周期解的充分条件,其中该条件依赖时滞与扩散. In this paper, a single-species plant model with periodic coefficients and time delays in diffusion is studied, where diffusions depend on periodic delays. Sufficient conditions which depend on diffusion and delay are determined that guarantee the existence of a positive periodic solution which is globally asymptotically stable.
出处 《生物数学学报》 CSCD 北大核心 2005年第2期129-134,共6页 Journal of Biomathematics
关键词 时滞 扩散 正周期解 全局渐近稳定性 Time delay Diffusion Periodic solution Globally asymptotic stability
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参考文献6

  • 1Freedman H I, Wu J H. Peiodic solutions of single-species mdel with periodic delay[J]. SIAM J Math Anal,1992, 23(3), 689-701.
  • 2Cui J An, Chen L S. Permanence and extinction in Logistic and Lotka- Volterra System with difusion[J]. J Math Anal Appl, 2001, 258(2):512-535.
  • 3Wang Wendi, Chen L s, Lu z y. Global stability of a competition model with periodic coefficients and time delays[J]. Canadian Appl Math Quart, 1995, 13(3):365-378.
  • 4Cui J An, Chen L S. The effect of diffusion on the time varying Logistic popuatin growth[J]. Compters Math Applic, 1998, 36(3):1-9.
  • 5Song X Y, Chen L S. Persistence and global tability for nonautonomous predator-prey system with diffusion and time delay[J]. Computer Math Applic, 1998, 35(6):33-40.
  • 6Hale J K. Theory of Functiona Differential Equations[M]. Heidelberg: Spinger Verag, 1977.

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