Global Attractor for a Chemotaxis Model with Reaction Term

A chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where n=2,3. First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.

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Main Authors: Xueyong Chen, Jianwei Shen
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/536381
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author Xueyong Chen
Jianwei Shen
author_facet Xueyong Chen
Jianwei Shen
author_sort Xueyong Chen
collection DOAJ
description A chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where n=2,3. First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-3228e79413914eeab120330a9238e7ac2025-02-03T07:25:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/536381536381Global Attractor for a Chemotaxis Model with Reaction TermXueyong Chen0Jianwei Shen1School of Mathematics and Statistics, Xuchang University, Xuchang 461000, ChinaSchool of Mathematics and Statistics, Xuchang University, Xuchang 461000, ChinaA chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where n=2,3. First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.http://dx.doi.org/10.1155/2013/536381
spellingShingle Xueyong Chen
Jianwei Shen
Global Attractor for a Chemotaxis Model with Reaction Term
Journal of Applied Mathematics
title Global Attractor for a Chemotaxis Model with Reaction Term
title_full Global Attractor for a Chemotaxis Model with Reaction Term
title_fullStr Global Attractor for a Chemotaxis Model with Reaction Term
title_full_unstemmed Global Attractor for a Chemotaxis Model with Reaction Term
title_short Global Attractor for a Chemotaxis Model with Reaction Term
title_sort global attractor for a chemotaxis model with reaction term
url http://dx.doi.org/10.1155/2013/536381
work_keys_str_mv AT xueyongchen globalattractorforachemotaxismodelwithreactionterm
AT jianweishen globalattractorforachemotaxismodelwithreactionterm