Hopf bifurcation and Turing instability analysis for the Gierer-Meinhardt model of the depletion type

DOI10.1155/2020/5293748zbMath1443.35011OpenAlexW3002760920WikidataQ126295445 ScholiaQ126295445MaRDI QIDQ779092

Hongqing Wang, Peiliang Gong, Lianchao Gu

Publication date: 21 July 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5293748

zbMATH Keywords

Turing patternsspot or stripe patternssupercritial Hopf bifurcation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Related Items (4)

The stochastic Gierer-Meinhardt system ⋮ Codimension-Two Bifurcation Analysis on a Discrete Gierer–Meinhardt System ⋮ Qualitative analysis for a biological depletion model ⋮ Spatiotemporal Dynamics and Pattern Formations of an Activator-Substrate Model with Double Saturation Terms

Cites Work

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• The Stability of a Stripe for the Gierer--Meinhardt Model and the Effect of Saturation
• Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition

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