一类具有时滞的Beddington-DeAngelis恒化器模型(英文)  

A Delayed Beddington-DeAngelis Chemostat Model

作　　者：王霞[1] 王付群[1] 宋新宇[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《应用数学》2011年第4期763-769,共7页Mathematica Applicata

基　　金：the National Natural Science Foundation of China(10771179);the Scientific and Technological Project of Henan Province(092102210070)

摘　　要：本文研究一类具有增长时滞及脉冲输入的Beddington-DeAngelis恒化器模型,得到了微生物灭绝周期解存在和全局吸引的条件,并证明了系统在适当的条件下是持久的.The dynamical behaviors of a Beddington-DeAngelis chemostat model with delayed response in growth and pulsed input was studied in this paper.We obtaine that some conditions for the existence and the global attractivity of a ‘microorganism-extinction’ periodic solution and prove that the system is permanent under other conditions hold.

关 键 词：恒化器模型 脉冲输入 时滞 持续 灭绝 

分 类 号：O175.1[理学—数学]