Existence and stability of one-peak symmetric stationary solutions for the Schnakenberg model with heterogeneity

DOI10.3934/DCDS.2019118zbMath1411.35159OpenAlexW2909434275WikidataQ128529115 ScholiaQ128529115MaRDI QIDQ1735364

Kazuhiro Kurata, Yuta Ishii

Publication date: 28 March 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2019118

zbMATH Keywords

stabilitysingular perturbationpattern formationSchnakenberg 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) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (9)

Standing Waves of Reaction-Diffusion Equations on an Unbounded Graph with Two Vertices ⋮ The effect of heterogeneity on one-peak stationary solutions to the Schnakenberg model ⋮ Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity ⋮ Bifurcation analysis and spatiotemporal patterns in delayed Schnakenberg reaction-diffusion model ⋮ Multi-peak solutions for the Schnakenberg model with heterogeneity on star shaped graphs ⋮ Discretization, bifurcation analysis and chaos control for Schnakenberg model ⋮ 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 ⋮ Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs

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• The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model

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