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 |
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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 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |