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关于捕食者-食饵系统正周期解存在性的一个反例

A Counterexample on the Existence of Positive Periodic Solutions for Two-Species Predator-Prey Diffusive Systems
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摘要 举出一个具有时滞和功能反应的两种群捕食者-食饵扩散系统的反例,并证明该系统不存在正的ω-周期解.这个反例说明了,2003年LI Bin-wen在《Ann.of Diff.Eqs.》上得出的结论是错误的. In this paper, we give a counterexample on two-species predatorprey Diffusive systems with time delay and functional response and prove that the system does not exist positive-periodic solutions. This counterexample indicates that the result of the paper appeared in 《 Annals of Differential Equations 》 (2003) is incorrect.
作者 王全义
机构地区 华侨大学数学系
出处 《华侨大学学报(自然科学版)》 CAS 北大核心 2007年第1期111-112,共2页 Journal of Huaqiao University(Natural Science)
基金 福建省自然科学基金资助项目(Z0511026)
关键词 捕食者-食饵扩散系统 时滞 功能反应 正周期解 存在性 time delay functional response predator-prey diffusive systems positive periodic solution existence
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  • 1Goh B S. Global stability in two species interactions. J Math Biol, 1976, 3: 313-318.
  • 2Hastings A. Global stability in two species systems. J Math Biol, 1978. 5:- 399-403.
  • 3He X Z. Stability and delays in a predator-prey system. J Math Anal Appl, 1996, 198: 355-370.
  • 4Song X and chen L. Harmless clelays and global attractivity for nonautonomous predator-prey system with dispersion. Computers Math Applic, 2000, 39: 33-42.
  • 5Xu Rui and Chen Lansun. Persistence and Stability of two -species ratio-dependent predaator-prey system with delay in a two-patch environment. Computers Math Applic, 2000, 40: 577-588.
  • 6Zhu Hongliang and Kuiehen D. Global Stability and periodic orbits for a two-patch diffusion predator-prey model with time delays. Nonlinear Anal, 2000, 41: 1083-1096.
  • 7Xu Rui and Chen Lansun. Persistence and Stabihty for a Delayed Nonautonomous Predator-Prey System without Dominating Instantaneous Negative Feedback. J Math Anal Appl, 2001, 262:50-61.
  • 8Gaines R E and Mawhin J L. Coincidence Degree and Nonlinear Differential Equations. Springer-Verlag, Berlin, 1977.
  • 9Li Y K,Proc Am Math Soc,1999年,127卷,5期,1331页
  • 10He X Z,J Math Anal Appl,1996年,198卷,355页

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