Conditions for global attractivity of n-patches predator-prey dispersion-delay models

In this paper, a nonautonomous predator-prey dispersion model with function al response and continuous time delay is studied, where all parameters are time dependent. In this system, which consists of n-patches, the prey speci es can disperse among n-patches, but the predator species is confined to on e patch and cannot disperse. It is proved the system is uniformly persisten t under any dispersion rate effect. Furthermore, the sufficient conditions are established for global attractivity of a periodic solution of the syste m. (C) 2001 Academic Press.