Existence of global solution and nontrivial steady states for a system modeling chemotaxis

Zhenbu Zhang

Abstract and Applied Analysis, 2006, vol. 2006, 1-23

Abstract:

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:081265

DOI: 10.1155/AAA/2006/81265

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