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一类具有时滞的Beddington-DeAngelis恒化器模型
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000
  • 相关基金：the National Natural Science Foundation of China（10771179）; the Scientific and Technological Project of Henan Province（092102210070）
作者： 王霞[1], 王付群[1], 宋新宇[1]
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
中文摘要：

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.

英文摘要：

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.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
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  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
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  • 被引量:4139