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Bifurcation Analysis of a Generic Reaction–Diffusion Turing Model

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Publication:3191924
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DOI10.1142/S0218127414500424zbMath1296.35084OpenAlexW2006353561MaRDI QIDQ3191924

Ping Liu, Rui Wang, Junping Shi, Yu-Wen Wang

Publication date: 26 September 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127414500424


zbMATH Keywords

Hopf bifurcationsteady state bifurcationTuring reaction-diffusion model


Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)


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Bogdanov-Takens singularity for a system of reaction-diffusion equations ⋮ Bifurcations and Pattern Formation in a Predator–Prey Model ⋮ Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model ⋮ Numerical bifurcation analysis of a 3D Turing-type reaction-diffusion model ⋮ Bifurcation analysis of a diffusive predator-prey system with nonconstant death rate and Holling III functional response



Cites Work

  • Mathematical biology. Vol. 2: Spatial models and biomedical applications.
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