Global Attractor for a Chemotaxis Model with Reaction Term

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.

Bibliographic Details
Main Authors: Xueyong Chen, Jianwei Shen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/536381
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spelling doaj-3228e79413914eeab120330a9238e7ac2020-11-24T23:28:35ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Xueyong Chen
Jianwei Shen
spellingShingle Xueyong Chen
Jianwei Shen
Global Attractor for a Chemotaxis Model with Reaction Term
Journal of Applied Mathematics
author_facet Xueyong Chen
Jianwei Shen
author_sort Xueyong Chen
title Global Attractor for a Chemotaxis Model with Reaction Term
title_short 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_sort global attractor for a chemotaxis model with reaction term
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/536381
work_keys_str_mv AT xueyongchen globalattractorforachemotaxismodelwithreactionterm
AT jianweishen globalattractorforachemotaxismodelwithreactionterm
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