Loading…

Asymptotic behaviour of the chemostat model with delayed response in growth

The asymptotic behaviour of solutions of the model for competition between three microorganisms in the chemostat is studied. The model incorporates time delays that allow for cellular components of each competing species to be structured to include unassimilated or stored nutrient and allow uptake f...

Full description

Saved in:
Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2002-03, Vol.13 (4), p.787-795
Main Authors: El-Owaidy, H.M., Ismail, M.
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c338t-d2d94c72b98ffc660224fb3b447390b2aa08dbcf99b9fcaa4c4b7aadb0c5d9603
cites cdi_FETCH-LOGICAL-c338t-d2d94c72b98ffc660224fb3b447390b2aa08dbcf99b9fcaa4c4b7aadb0c5d9603
container_end_page 795
container_issue 4
container_start_page 787
container_title Chaos, solitons and fractals
container_volume 13
creator El-Owaidy, H.M.
Ismail, M.
description The asymptotic behaviour of solutions of the model for competition between three microorganisms in the chemostat is studied. The model incorporates time delays that allow for cellular components of each competing species to be structured to include unassimilated or stored nutrient and allow uptake functions to be nonmonotone. By introducing three auxiliary functions and using a lemma, it is shown that at most one competitor survives, and the substrate and the surviving competitor (if two exist) approach limiting values.
doi_str_mv 10.1016/S0960-0779(01)00055-8
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_21472796</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0960077901000558</els_id><sourcerecordid>582531</sourcerecordid><originalsourceid>FETCH-LOGICAL-c338t-d2d94c72b98ffc660224fb3b447390b2aa08dbcf99b9fcaa4c4b7aadb0c5d9603</originalsourceid><addsrcrecordid>eNqFkEtLAzEUhYMoWKs_QchKdDGaZB6ZrKQUX1hwoa5DHnecyEwzJmlL_71jK25d3bv4zoHzIXROyTUltLp5JaIiGeFcXBJ6RQgpy6w-QBNa8zxjdc0P0eQPOUYnMX6OECUVm6DnWdz2Q_LJGayhVWvnVwH7BqcWsGmh9zGphHtvocMbl1o8PmoLFgeIg19GwG6JP4LfpPYUHTWqi3D2e6fo_f7ubf6YLV4enuazRWbyvE6ZZVYUhjMt6qYxVUUYKxqd66LguSCaKUVqq00jhBaNUaowheZKWU1MaccZ-RRd7HuH4L9WEJPsXTTQdWoJfhUlowVnXFQjWO5BE3yMARo5BNersJWUyB91cqdO_niRhMqdOlmPudt9DsYVawdBRuNgacC6ACZJ690_Dd8T3neW</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>21472796</pqid></control><display><type>article</type><title>Asymptotic behaviour of the chemostat model with delayed response in growth</title><source>Elsevier:Jisc Collections:Elsevier Read and Publish Agreement 2022-2024:Freedom Collection (Reading list)</source><creator>El-Owaidy, H.M. ; Ismail, M.</creator><creatorcontrib>El-Owaidy, H.M. ; Ismail, M.</creatorcontrib><description>The asymptotic behaviour of solutions of the model for competition between three microorganisms in the chemostat is studied. The model incorporates time delays that allow for cellular components of each competing species to be structured to include unassimilated or stored nutrient and allow uptake functions to be nonmonotone. By introducing three auxiliary functions and using a lemma, it is shown that at most one competitor survives, and the substrate and the surviving competitor (if two exist) approach limiting values.</description><identifier>ISSN: 0960-0779</identifier><identifier>EISSN: 1873-2887</identifier><identifier>DOI: 10.1016/S0960-0779(01)00055-8</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Biomass ; Growth kinetics ; Microorganisms ; Substrates</subject><ispartof>Chaos, solitons and fractals, 2002-03, Vol.13 (4), p.787-795</ispartof><rights>2001 Elsevier Science Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c338t-d2d94c72b98ffc660224fb3b447390b2aa08dbcf99b9fcaa4c4b7aadb0c5d9603</citedby><cites>FETCH-LOGICAL-c338t-d2d94c72b98ffc660224fb3b447390b2aa08dbcf99b9fcaa4c4b7aadb0c5d9603</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27922,27923</link.rule.ids></links><search><creatorcontrib>El-Owaidy, H.M.</creatorcontrib><creatorcontrib>Ismail, M.</creatorcontrib><title>Asymptotic behaviour of the chemostat model with delayed response in growth</title><title>Chaos, solitons and fractals</title><description>The asymptotic behaviour of solutions of the model for competition between three microorganisms in the chemostat is studied. The model incorporates time delays that allow for cellular components of each competing species to be structured to include unassimilated or stored nutrient and allow uptake functions to be nonmonotone. By introducing three auxiliary functions and using a lemma, it is shown that at most one competitor survives, and the substrate and the surviving competitor (if two exist) approach limiting values.</description><subject>Biomass</subject><subject>Growth kinetics</subject><subject>Microorganisms</subject><subject>Substrates</subject><issn>0960-0779</issn><issn>1873-2887</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLAzEUhYMoWKs_QchKdDGaZB6ZrKQUX1hwoa5DHnecyEwzJmlL_71jK25d3bv4zoHzIXROyTUltLp5JaIiGeFcXBJ6RQgpy6w-QBNa8zxjdc0P0eQPOUYnMX6OECUVm6DnWdz2Q_LJGayhVWvnVwH7BqcWsGmh9zGphHtvocMbl1o8PmoLFgeIg19GwG6JP4LfpPYUHTWqi3D2e6fo_f7ubf6YLV4enuazRWbyvE6ZZVYUhjMt6qYxVUUYKxqd66LguSCaKUVqq00jhBaNUaowheZKWU1MaccZ-RRd7HuH4L9WEJPsXTTQdWoJfhUlowVnXFQjWO5BE3yMARo5BNersJWUyB91cqdO_niRhMqdOlmPudt9DsYVawdBRuNgacC6ACZJ690_Dd8T3neW</recordid><startdate>20020301</startdate><enddate>20020301</enddate><creator>El-Owaidy, H.M.</creator><creator>Ismail, M.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20020301</creationdate><title>Asymptotic behaviour of the chemostat model with delayed response in growth</title><author>El-Owaidy, H.M. ; Ismail, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c338t-d2d94c72b98ffc660224fb3b447390b2aa08dbcf99b9fcaa4c4b7aadb0c5d9603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Biomass</topic><topic>Growth kinetics</topic><topic>Microorganisms</topic><topic>Substrates</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>El-Owaidy, H.M.</creatorcontrib><creatorcontrib>Ismail, M.</creatorcontrib><collection>CrossRef</collection><jtitle>Chaos, solitons and fractals</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>El-Owaidy, H.M.</au><au>Ismail, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Asymptotic behaviour of the chemostat model with delayed response in growth</atitle><jtitle>Chaos, solitons and fractals</jtitle><date>2002-03-01</date><risdate>2002</risdate><volume>13</volume><issue>4</issue><spage>787</spage><epage>795</epage><pages>787-795</pages><issn>0960-0779</issn><eissn>1873-2887</eissn><abstract>The asymptotic behaviour of solutions of the model for competition between three microorganisms in the chemostat is studied. The model incorporates time delays that allow for cellular components of each competing species to be structured to include unassimilated or stored nutrient and allow uptake functions to be nonmonotone. By introducing three auxiliary functions and using a lemma, it is shown that at most one competitor survives, and the substrate and the surviving competitor (if two exist) approach limiting values.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/S0960-0779(01)00055-8</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0960-0779
ispartof Chaos, solitons and fractals, 2002-03, Vol.13 (4), p.787-795
issn 0960-0779
1873-2887
language eng
recordid cdi_proquest_miscellaneous_21472796
source Elsevier:Jisc Collections:Elsevier Read and Publish Agreement 2022-2024:Freedom Collection (Reading list)
subjects Biomass
Growth kinetics
Microorganisms
Substrates
title Asymptotic behaviour of the chemostat model with delayed response in growth
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-14T08%3A57%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Asymptotic%20behaviour%20of%20the%20chemostat%20model%20with%20delayed%20response%20in%20growth&rft.jtitle=Chaos,%20solitons%20and%20fractals&rft.au=El-Owaidy,%20H.M.&rft.date=2002-03-01&rft.volume=13&rft.issue=4&rft.spage=787&rft.epage=795&rft.pages=787-795&rft.issn=0960-0779&rft.eissn=1873-2887&rft_id=info:doi/10.1016/S0960-0779(01)00055-8&rft_dat=%3Cproquest_cross%3E582531%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c338t-d2d94c72b98ffc660224fb3b447390b2aa08dbcf99b9fcaa4c4b7aadb0c5d9603%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=21472796&rft_id=info:pmid/&rfr_iscdi=true