计算机工程与应用Issue(21)：11-14,23,5.DOI:10.3778/j.issn.1002-8331.1303-0181
离散捕食系统的持久性和全局稳定性
Permanence and global stability of predator-prey discrete system with Beddington-DeAngelis functional response and time delays
摘要
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.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Key words
predator-prey discrete system/Beddington-DeAngelis functional response/time delay/permanence/global stability分类
数理科学引用本文复制引用
王烈,陈斯养..离散捕食系统的持久性和全局稳定性[J].计算机工程与应用,2013,(21):11-14,23,5.基金项目
国家自然科学基金（No.11171199，No.61273311）；中央高校基本科研业务费专项资金（No.GK201302006）。 （）
