[1]魏春金.具时滞增长反应及脉冲输入Monod-Haldane恒化器模型的分析[J].南京师范大学学报(自然科学版),2008,31(03):6-11.
 Wei Chunjin,Chen Lansun.Analysis of Monod-Haldane Chemostat Model With Delayed Growth Response and Impulsive Input[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(03):6-11.
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具时滞增长反应及脉冲输入Monod-Haldane恒化器模型的分析()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年03期
页码:
6-11
栏目:
数学
出版日期:
2008-09-30

文章信息/Info

Title:
Analysis of Monod-Haldane Chemostat Model With Delayed Growth Response and Impulsive Input
作者:
魏春金1 2 陈兰荪2
( 1. 集美大学理学院, 福建厦门361021)
( 2. 大连理工大学应用数学系, 辽宁大连116024)
Author(s):
Wei Chunjin12Chen Lansun2
( 1. S chool of S cien ce, J im eiUn iversity, X iam en 361021, Ch ina)
( 2. Departm ent ofApp liedM athem atics, DalianUn ivers ity of Techn ology, Dal ian 116024, Ch in a)
关键词:
脉冲输入 恒化器模型 增长反应时滞 持久性 灭绝
Keywords:
im pu lsive input chem ostat model tim e de lay for grow th response perm anence extinction
分类号:
O175.12
摘要:
考虑了一类具有时滞增长反应及脉冲输入营养基的Monod-Haldane恒化器模型.获得微生物灭绝周期解全局吸引的充分条件,并运用脉冲时滞微分方程的相关理论和方法,证明了系统在适当的条件下是持久的,结论还表明该时滞是有害时滞.
Abstract:
A M onod-H aldane chem ostat m ode lw ith de layed grow th response and im pu ls ive input concentra tion o f the nutr ient was considered. The sufficien t cond itions for the g loba l a ttractiv ity of m icroo rganism-ex tinction per iodic so lution w ere obta ined. Furtherm ore, using co rresponding theor ies and m ethods of im pu ls ive de layed d iferential equation, it w as prov ed that the sy stem w as perm anent under appropr ia te cond itions. The results show ed tha t tim e de lay w as profitless

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10771179)资助项目.
通讯联系人: 魏春金, 博士生, 研究方向: 生物数学. E-m a il:chun jinw ei92@ 163. com
更新日期/Last Update: 2013-05-05