Stability and Hopf Bifurcation Analysis of a Reduced Gierer–Meinhardt Model

DOI10.1142/S0218127421501492zbMath1473.35030OpenAlexW3195437266MaRDI QIDQ4958574

Rasoul Asheghi

Publication date: 14 September 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421501492

zbMATH Keywords

Hopf bifurcationbifurcation directionGierer-Meinhardt activator-inhibitor modeldiffusion constant

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

Hopf Bifurcation Analysis in a Gierer–Meinhardt Activator–Inhibitor Model ⋮ Hopf Bifurcation and Self-Organization Pattern of a Modified Brusselator Model

Cites Work

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• The nondegenerate center problem and the inverse integrating factor
• MULTIPLE BIFURCATION ANALYSIS AND SPATIOTEMPORAL PATTERNS IN A 1-D GIERER–MEINHARDT MODEL OF MORPHOGENESIS
• The chemical basis of morphogenesis
• Stripe and Spot Patterns for General Gierer–Meinhardt Model with Common Sources

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