Stability and dynamics of spike-type solutions to delayed Gierer-Meinhardt equations

DOI10.3934/dcdsb.2022117zbMath1501.35412OpenAlexW4285289872MaRDI QIDQ2093464

David Iron, Theodore Kolokolnikov, Nancy Khalil

Publication date: 8 November 2022

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2022117

zbMATH Keywords

reaction-diffusion systemsbifurcationsasymptotic analysisperturbation methodsdelayed partial differential equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic expansions of solutions to PDEs (35C20) Perturbations in context of PDEs (35B20) Cell biology (92C37) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05) PDEs on time scales (35R07)

Cites Work

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