一类食饵具有避难所的三种群模型的持续生存和周期解

Persistence and periodic solutions of a three species model with refuges

讨论了一类两个捕食者种群和一个共同的食饵种群构成的生态系统 .系统中食饵种群有自己的避难所 ,它在避难所内外可以迁徙 ;在一定条件下系统是持续生存的 ;若系统是一个周期系统 ,且在合适的条件下 ,则存在唯一的。

A kind of nonautonomous system of two predator populations and one common prey population is considered. In the system, the prey population can choose their own refuges to avoid being preyed by its natural enemy. The prey species can diffuse between the interior and exterior of the refuges. It is proved that the system can be persistent under certain conditions and that if the system is periodic,it has a strictly positive orbit, which is globally and asymptotically stable under the appropriate conditions.