[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].南京师大学报(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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《南京师大学报（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 Chunjin1; 2; Chen 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 mode; l 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:

[ 1] H a le J K, Som o linas A S. Com petition for flutuating nutrien t[ J]. Journa l ofM athem atica l B io logy, 1983, 18( 3): 255-280.
[ 2] Bu lerG J, H su S B, W a ltm an P. A m athem atica lm ode l of the chem ostat w ith period icw ashout rate[ J]. SIAM Journa l on AppliedM a them a tics, 1985, 45( 3): 435-449.
[ 3] Ba inov D D, S im eonov P. Impu lsive D ifferentia l Equations: Pe riod ic So lutions and App lications[M ]. H arlow: Longm an Scientific and Techn ica l Press, 1993.
[ 4] S im th H L, W a ltm an P. The Theory of the Chem ostat[M ]. Cam bridge: Cam bridge Un iv ers ity Press, 1995.
[ 5] H ansen S R, Hubbe ll S P. S ing le-nutr ientm icrob ia l com petition: qua lita tive ag reement betw een experim enta l and theoretically fo recast ou tcom es[ J]. Sc ience, 1980, 207( 4438): 1 491-1 493.
[ 6] Barford J P, Pamm entN B, H a ll R J. Lag phases and transients[M ] / / BazinM J. M icrob ial Population Dynam ics. Flor ida:CRC Press, 1982.
[ 7] M engX Zh, Zhao Q L, Chen L S. G loba l qualitive ana lys is o f newM onod type chem ostat modelw ith de layed g row th response
and pu lsed input in po llu ted env ironm ent[ J]. AppliedM a them a tics andM echanics, 2008, 29( 1): 75-87.
[ 8] Kuang Y. De lay D ifferen tia l Equa tionsW ith App lications in Popu lation Dynam ics[M ] . Ca lifo rn ia: Academ ic Press Inc,1993.

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