Existence of global solution and nontrivial steady states for a system modeling chemotaxis
We consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two species of bacteria competing for the same nutrient. We use Moser-Alikakos iteration to prove the global existence of the solution. We also study the existence of nontrivial steady state solutions and t...
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Hindawi Limited
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/81265 |
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doaj-c79e1d4db4a04985b33dfb2e11d6933e2020-11-24T21:28:38ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/8126581265Existence of global solution and nontrivial steady states for a system modeling chemotaxisZhenbu Zhang0School of Information and Electronics Engineering, Shandong Institute of Business and Technology, Yantai, Shandong 264005, ChinaWe consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two species of bacteria competing for the same nutrient. We use Moser-Alikakos iteration to prove the global existence of the solution. We also study the existence of nontrivial steady state solutions and their stability.http://dx.doi.org/10.1155/AAA/2006/81265 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhenbu Zhang |
| spellingShingle |
Zhenbu Zhang Existence of global solution and nontrivial steady states for a system modeling chemotaxis Abstract and Applied Analysis |
| author_facet |
Zhenbu Zhang |
| author_sort |
Zhenbu Zhang |
| title |
Existence of global solution and nontrivial steady states for a system modeling chemotaxis |
| title_short |
Existence of global solution and nontrivial steady states for a system modeling chemotaxis |
| title_full |
Existence of global solution and nontrivial steady states for a system modeling chemotaxis |
| title_fullStr |
Existence of global solution and nontrivial steady states for a system modeling chemotaxis |
| title_full_unstemmed |
Existence of global solution and nontrivial steady states for a system modeling chemotaxis |
| title_sort |
existence of global solution and nontrivial steady states for a system modeling chemotaxis |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2006-01-01 |
| description |
We consider a reaction-diffusion system modeling chemotaxis,
which describes the situation of two species of bacteria competing for the same
nutrient. We use Moser-Alikakos iteration to prove the global existence of the solution. We
also study the existence of nontrivial steady state solutions and their stability. |
| url |
http://dx.doi.org/10.1155/AAA/2006/81265 |
| work_keys_str_mv |
AT zhenbuzhang existenceofglobalsolutionandnontrivialsteadystatesforasystemmodelingchemotaxis |
| _version_ |
1725969279524798464 |