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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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1849685791510364160 |
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| author | Zhenbu Zhang |
| author_facet | Zhenbu Zhang |
| author_sort | Zhenbu Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c79e1d4db4a04985b33dfb2e11d6933e |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c79e1d4db4a04985b33dfb2e11d6933e2025-08-20T03:22:58ZengWileyAbstract 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 |
| spellingShingle | Zhenbu Zhang Existence of global solution and nontrivial steady states for a system modeling chemotaxis Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/AAA/2006/81265 |
| work_keys_str_mv | AT zhenbuzhang existenceofglobalsolutionandnontrivialsteadystatesforasystemmodelingchemotaxis |