Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs

DOI10.1007/s00332-021-09762-wzbMath1480.35022OpenAlexW4200276619MaRDI QIDQ2062880

Yuta Ishii

Publication date: 3 January 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-021-09762-w

zbMATH Keywords

stabilitypattern formationmetric graphspike solutionSchnakenberg model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (7)

Standing Waves of Reaction-Diffusion Equations on an Unbounded Graph with Two Vertices ⋮ Spiky patterns for the Schnakenberg model with advection term on \(Y\)-shaped metric graph ⋮ Multi-peak solutions for the Schnakenberg model with heterogeneity on star shaped graphs ⋮ Hopf Bifurcation and Self-Organization Pattern of a Modified Brusselator Model ⋮ Multi-spike patterns for the Gierer-Meinhardt model with heterogeneity on \(Y\)-shaped metric graph ⋮ Concentration phenomena on \(Y\)-shaped metric graph for the Gierer-Meinhardt model with heterogeneity ⋮ Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs

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