Diffusion-Driven Instability in Reaction–Diffusion Systems

Diffusion-Driven Instability in Reaction–Diffusion Systems

For a stable matrix A with real entries, sufficient and necessary conditions for A−D to be stable for all non-negative diagonal matrices D are obtained. Implications of these conditions for the stability and instability of constant steady-state solutions to reaction–diffusion systems are discussed a...

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Veröffentlicht in:Journal of mathematical analysis and applications 2001-02, Vol.254 (1), p.138-153
Hauptverfasser: Wang, Liancheng, Li, Michael Y.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
compound matrices
constant steady-state
diffusion-driven instability
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Lozinskiĭ measure
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Partial differential equations
reaction–diffusion systems
Sciences and techniques of general use
stability
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Beschreibung
Zusammenfassung:For a stable matrix A with real entries, sufficient and necessary conditions for A−D to be stable for all non-negative diagonal matrices D are obtained. Implications of these conditions for the stability and instability of constant steady-state solutions to reaction–diffusion systems are discussed and an example is given to show applications.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2000.7220