非自治捕食-食饵扩散系统的渐近性质

Asymptotic behavior of nonautonomous diffusive predator prey system

讨论了一个非自治具有第Ⅱ类功能性反应函数的两种群捕食食饵系统，一个种群可以在两个斑块间扩散，另一种群限制在一个斑块上．证明了在适当条件下，系统是永久持续生存的；若系统是周期系统，则在适当条件下，该系统存在惟一的全局吸引的正周期解．

This paper considers a nonautonomous system of two predator prey species with the type Ⅱ functional response, one of two species can diffuse between two patches, and another is confined to one patch. It is 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 which has global attractively under some appropriate conditions.