具有HollingⅢ类功能反应的三维顺环捕食-食饵模型的概周期问题

Three-species Clockwise Chain Predator-prey Model with Holling Ⅲ Functional Response

考虑具有HollingⅢ类功能反应三维顺环捕食系统,利用常微分方程比较定理、微分不等式及Liapunov函数方法,得到该系统持久性的充分条件,并在一定条件下,得到系统存在一个全局渐近稳定的正周期解和概周期正解的存在惟一性和全局渐近稳定的充分条件.

For a three-species clockwise chain predator-prey system with Holling Ⅲ functional response, some sufficient conditions which guarantee the permanence of the system were determined by using comparison theory and Liapunov function of ordinary differential equation. Moreover, for the periodic system, it has been proved that under certain conditions there exists a unique positive periodic solution which is globally asymptotically stable. Finally we dicussed almost periodic phonomena, and obtained some sufficient conditions which assure the unique existence and globally asymptotic stability of almost positive periodic solution.