北华大学学报（自然科学版）Issue(2)：130-136,7.DOI:10.11713/j.issn.1009-4822.2013.02.002
一类被开发的具有Beddington-DeAngelis 型功能性反应的捕食系统的全局稳定性
Global Asymptotic Stability of a Class of Exploited Predator-Prey System with Beddington-DeAngelis Functional Response
常春香1
作者信息
- 1. 吉林农业大学发展学院，吉林长春 130033
- 折叠
摘要
Abstract
By applying comparison theorem of differential equation , Mawhin ’ s Continuation Theorem of coincidence degree theory,Barbalat Lemma and Lyapunov Function ,a exploited predator-prey system with time delay and Beddington-DeAngelis functional response is studied .It is proved that the exploited system is uniformly persistent under appropriate conditions .Further,if the system is a periodic one,it can have a strictly positive periodic solution which is global asymptotic stable under appropritions .关键词
被开发的捕食系统/持久性/周期解/全局稳定性Key words
exploited predator-prey system/persistence/periodic solution/global asymptotic stability分类
数理科学引用本文复制引用
常春香..一类被开发的具有Beddington-DeAngelis 型功能性反应的捕食系统的全局稳定性[J].北华大学学报（自然科学版）,2013,(2):130-136,7.
