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一类具有时滞的Beddington-DeAngelis恒化器模型(英文)

A Delayed Beddington-DeAngelis Chemostat Model
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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.
作者 王霞 王付群 宋新宇
机构地区 信阳师范学院数学与信息科学学院
出处 《应用数学》 CSCD 北大核心 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)
关键词 恒化器模型 脉冲输入 时滞 持续 灭绝 Chemostat model Impulsive input Time delay Permanence Extinction
分类号 O175.1 [理学—基础数学]
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应用数学
2011年 第4期

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