具有庇护所的三种群捕食者—食饵模型

Model of A Three Interacting Prey-predator with Refuges

讨论了一类具有庇护所的自治三种群捕食者一食饵模型,运用Liapunov函数方法,得到了该模型持久性的充分条件。对于该模型的周期系统,在一定的条件下,将产生唯一一个全局渐近稳定的周期正解。对更具普遍意义的概周期现象,也得出了概周期正解唯一存在且全局渐近稳定性的充分条件。

In this paper, we employ Liapunov method to study the persistence and global asymptotic stable of positive solutions for the ecologic system of the three interacting prey-predator with refuges. Then the existence and uniqueness of the positive periodic solutions and positive almost periodic solutions for corresponding periodic system and almost periodic systems are also discussed.