具Ⅱ类功能反应的非自治捕食扩散系统的全局稳定性

Global Stability for Nonautonomous Predator-Prey Patch-System with Type Ⅱ Functional Response

研究了一类具有扩散率和Ⅱ类功能性反应的非自治捕食系统，证明了在适当条件下，系统是持久的．进一步如果系统是周期系统，则在一定条件下存在唯一严格正的全局稳定的周期解．

In this paper, a nonautonomous predator-prey system with diffusion and type II functional response are studied. It is proved that under some appropriate conditions the system is persistent. Further, if the system is a periodic one, it can have a strictly positive periodic solution which is global stability under the appropriate conditions.