ISSN 1002-1027  CN 11-2952/G2

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

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.