Acta Scientiarum Naturalium Universitatis Pekinensis

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Persistence and Global Stability for Nonautonomous Cooperative System with Diffusion and Time Delay

CHEN Fengde   

  1. Department of Mathematics, School of Mathematics Sciences, Peking University, Beijing, 100871
  • Received:2002-04-10 Online:2003-01-20 Published:2003-01-20



  1. 北京大学数学科学学院,北京,100871

Abstract: A non-autonomous cooperative model with diffusion and continuous time delay is studied, where all parameters are time-dependent. The system, which is compose 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.

Key words: persistence, time delay, global asymptotic stability, diffusion

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。

关键词: 一致持久性, 时滞, 全局稳定性, 扩散系统

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