期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 190, 期 2, 页码 600-620出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-0396(02)00100-6
关键词
Sel'kov model; non-constant positive steady states; bifurcation; global existence
类别
This paper deals with the reaction-diffusion system known as the Sel'kov model with the homogeneous Neumann boundary condition. This model has been applied to various problems in chemistry and biology. We first give a priori estimates (positive upper and lower bounds) of positive steady states, and then study the non-existence, bifurcation and global existence of non-constant positive steady states as the parameters lambda and theta are varied. (C) 2002 Elsevier Science (USA). All rights reserved.
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