关键词: 离散捕食系统, Beddington-DeAngelis功能反应, 时滞, 持久性, 全局稳定性

Abstract: The permanence and global stability of a non-autonomous predator-prey discrete model, which is consisted by [n] preys and [m] predators, with Beddington-DeAngelis functional response and time delays are investigated. Using?the?comparison?principle of the difference equations, the sufficient condition that the discrete system is permanent is acquired directly. The sufficient conditions which ensure the global stability of the discrete system are obtained through the valuation?methods. For periodic case, the sufficient conditions are established for the existence and the global stability of positive periodic solutions by the fixed point principle.

Key words: predator-prey discrete system, Beddington-DeAngelis functional response, time delay, permanence, global stability