| Abstract: | The purpose of this paper is to investigate the permanence and existence of positive periodic solution of a cooperative system.The model is composed of two patches in which one of the two species can diffuse between the two patches while the other is confined to one patch and can not diffuse.It's proved that the model is permanent under appropriate conditions.Further if the model is a periodic system,it can have a strictly positive periodic solution whice has global attractivity under some appropriateconditions. |
