Existence of global solution and nontrivial steady states for a system modeling chemotaxis (Q2472114)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of global solution and nontrivial steady states for a system modeling chemotaxis |
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Existence of global solution and nontrivial steady states for a system modeling chemotaxis (English)
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20 February 2008
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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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one space dimension
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Moser-Alikakos iteration
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nontrivial steady state solutions
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stability
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