Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime

DOI10.1017/S0956792520000431zbMath1504.35029OpenAlexW3122542349MaRDI QIDQ5056762

Chunyi Gai, Fahad Al Saadi, Theodore Kolokolnikov, Alan R. Champneys

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792520000431

zbMATH Keywords

pattern formationreaction-diffusion systemsmatched asymptotic expansionsnakingnonlocal eigenvalue problem (NLEP)

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Bifurcations in context of PDEs (35B32) Multiple scale methods for ordinary differential equations (34E13) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Related Items (4)

Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system ⋮ Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems ⋮ Stability and Hopf bifurcation in the general Langford system ⋮ Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth

Uses Software

• AUTO
• AUTO-07P
• GitHub

Cites Work

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