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

Zhenbu Zhang | Zendy

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

Author(s) -

Zhenbu Zhang

Publication year - 2006

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/aaa/2006/81265

Subject(s) - chemotaxis , mathematics , steady state (chemistry) , stability (learning theory) , diffusion , reaction–diffusion system , mathematical analysis , state (computer science) , pure mathematics , thermodynamics , physics , chemistry , computer science , biochemistry , receptor , algorithm , machine learning

We consider a reaction-diffusion system modeling chemotaxis,which describes the situation of two species of bacteria competing for the samenutrient. We use Moser-Alikakos iteration to prove the global existence of the solution. Wealso study the existence of nontrivial steady state solutions and their stability

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