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含时滞扩散合作系统的一致持久性和全局稳定性(英文) 被引量:6

Persistence and Global Stability for Nonautonomous Cooperative System with Diffusion and Time Delay
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摘要 考虑了含连续时滞的两种群扩散合作的系统 ,其中一个种群能在两个斑块中移动 ,另一个种群限制在一个斑块中不能移动 ,给出了该系统一致持久性和全局稳定性的充分性条件。 A non-autonomous cooperative model with diffusion and continuous time delay is studied,where all parameters are time-dependent.The system,which is composed of two patches,has two species:one can diffuse between two patches,but the other is confined to one patch and cannot diffuse.It is proved that the system is uniformly persistent under appropriate conditions.Furthermore,sufficient conditions are established for global stability of the system.
作者 陈凤德
出处 《北京大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第1期22-28,共7页 Acta Scientiarum Naturalium Universitatis Pekinensis
关键词 时滞 扩散合作系统 一致持久性 全局稳定性 两种群扩散系统 persistence time delay global asymptotic stability diffusion
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参考文献7

  • 1[1]Levin S A.Dispersion and Population Interaction.The Amer Naturalist,1974,108(3): 207~228
  • 2[2]Kisimoto K.Coexistence of Any Number of Species in the Lotka-Volterra System s over Two Patches.Theoretical Population Bio.,1990,38(2):149~158
  • 3[3]Takeuchi Y.Conflict Between the Need to Forage and the Need to Avoid Competit ion:Persistence of Two-species Model.Math.Biosi.,1990,99(2):181~194
  • 4[4]Yang Xia,Chen Jufan.Permanence and Existence of Positive Periodic Solution fo r Diffusive Lotka-Volterra Model.Journal of Biomathematics,1997,12(1):8~14
  • 5[5]Blythe S P,Nisbet R M,Gurney W S C,et al.Stability Switches in Distributed De lay Models.J Math Anal Appl,1985,109(3):388~396
  • 6[6]Ma Zhien.Stability of Predation Models with Time Delays.Appl Anal,1986,22(2): 169~192
  • 7[7]Wan Wendi,Ma Zhien.Harmless Delays for Uniform Persistence.J Math Anal Appl,1 991,158(3):256~268

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