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A Hopf Bifurcation in a Three-Component Reaction-Diffusion System with a Chemoattraction
Author(s) -
YoonMee Ham,
SangGu Lee,
Quoc Phong Vu
Publication year - 2013
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 - 10.1155/2013/830386
Subject(s) - mathematics , hopf bifurcation , bifurcation , component (thermodynamics) , work (physics) , diffusion , reaction–diffusion system , mathematical analysis , thermodynamics , nonlinear system , physics , quantum mechanics
We consider a three-component reaction-diffusion system with a chemoattraction. The purpose of this work is to analyze the chemotactic effects due to the gradient of the chemotactic sensitivity and the shape of the interface. Conditions for existence of stationary solutions and the Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically

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