Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs
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Publication:2062880
DOI10.1007/s00332-021-09762-wzbMath1480.35022OpenAlexW4200276619MaRDI QIDQ2062880
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
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
Cites Work
- Unnamed Item
- Mathematical aspects of pattern formation in biological systems
- Instability of stationary solutions of reaction-diffusion-equations on graphs
- On the Gierer-Meinhardt system with precursors
- Stationary multiple spots for reaction-diffusion systems
- Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in \(\mathbb R^1\)
- Functional analysis, Sobolev spaces and partial differential equations
- Ground states of nonlinear Schrödinger equation on star metric graphs
- Existence and stability of one-peak symmetric stationary solutions for the Schnakenberg model with heterogeneity
- The Schnakenberg model with precursors
- Stability analysis of Turing patterns generated by the Schnakenberg model
- Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
- Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs
- Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity
- Asymptotic convergence of solutions of Keller-Segel equations in network shaped domains
- Least energy solutions to semi-linear elliptic problems on metric graphs
- Concentration phenomena on \(Y\)-shaped metric graph for the Gierer-Meinhardt model with heterogeneity
- Population dynamics in river networks
- Stable and unstable periodic spiky solutions for the Gray-Scott system and the Schnakenberg system
- The Fisher-KPP equation over simple graphs: varied persistence states in river networks
- Population dynamics in river networks: analysis of steady states
- Parabolic models for chemotaxis on weighted networks
- The effect of heterogeneity on one-peak stationary solutions to the Schnakenberg model
- Stable spike clusters for the one-dimensional Gierer–Meinhardt system
- The chemical basis of morphogenesis
- The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model
- Stability of nonconstant steady states in reaction-diffusion systems on graphs
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