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Analysis of Monod-Haldane Chemostat Model With Delayed Growth Response and Impulsive Input(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年03期
Page:
6-11
Research Field:
数学
Publishing date:

Info

Title:
Analysis of Monod-Haldane Chemostat Model With Delayed Growth Response and Impulsive Input
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)
Keywords:
im pu lsive input;  chem ostat mode; l tim e de lay for grow th response;  perm anence;  extinction
PACS:
O175.12
DOI:
-
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

References:

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Last Update: 2013-05-05