A note on positive non-constant steady-state solutions to a reaction–diffusion model

In the present paper, we investigate a reaction–diffusion system with feedback effect subject to the homogeneous Neumann boundary condition and study the positive steady-state solutions. We establish a priori estimates for positive steady-state solutions and derive some results for non-existence of...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 217; no. 8; pp. 4234 - 4238
Main Authors Dong, Wei, Wei, Zhongli, Pang, Changci
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 15.12.2010
Elsevier
Subjects
A reaction–diffusion model
Boundary conditions
Complement
Computation
Estimates
Exact sciences and technology
Feedback
Feedback effect
Mathematical analysis
Mathematical models
Mathematics
Non-existence
Numerical analysis
Numerical analysis. Scientific computation
Positive steady states
Sciences and techniques of general use
Non-existence
A reaction–diffusion model
Feedback effect
Positive steady states
Boundary condition
Reaction diffusion equation
Steady state
A reaction-diffusion model
Numerical analysis
Feedback
Applied mathematics
Positive solution
A priori estimation
Steady state solution
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Summary:In the present paper, we investigate a reaction–diffusion system with feedback effect subject to the homogeneous Neumann boundary condition and study the positive steady-state solutions. We establish a priori estimates for positive steady-state solutions and derive some results for non-existence of positive non-constant steady-state solutions. Our analysis complements the existing results on this model.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.10.038