Some remarks on matrix stability with application to Turing instability

DOI10.1016/j.laa.2004.04.003zbMath1069.15018OpenAlexW2164969278MaRDI QIDQ1774988

Pauline van den Driessche, Razvan Alin Satnoianu

Publication date: 4 May 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.003

zbMATH Keywords

counterexampleTuring instability\(P\)-matrixStrong stabilitydiffusion of chemical speciesDiffusion-driven instability

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Biochemistry, molecular biology (92C40)

Related Items (9)

Quiescence stabilizes predator–prey relations ⋮ Quiescence, excitability, and heterogeneity in ecological models ⋮ Turing-Hopf instability in biochemical reaction networks arising from pairs of subnetworks ⋮ The morphostatic limit for a model of skeletal pattern formation in the vertebrate limb ⋮ Pattern dynamics of a spatial epidemic model with time delay ⋮ Quiescent phases and stability ⋮ Linear stability of delayed reaction-diffusion systems ⋮ Effect of time delay on pattern dynamics in a spatial epidemic model ⋮ Unifying Matrix Stability Concepts with a View to Applications

Cites Work

• A geometric study of the D-stability problem
• Recent directions in matrix stability
• Three types of matrix stability
• Mathematical biology. Vol. 1: An introduction.
• The chemical basis of morphogenesis
• Diffusion-driven instability in reaction-diffusion systems
• Turing instabilities in general systems

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