Turing-Hopf bifurcation analysis of the Sel'kov-Schnakenberg system (Q6537608)

scientific article; zbMATH DE number 7847281

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English	Turing-Hopf bifurcation analysis of the Sel'kov-Schnakenberg system	scientific article; zbMATH DE number 7847281

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instance of

scholarly article

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title

Turing-Hopf bifurcation analysis of the Sel'kov-Schnakenberg system (English)

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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

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publication date

14 May 2024

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zbMATH Keywords

Hopf bifurcation

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Turing-Hopf bifurcation

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stability switching curves

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Sel'kov-Schnakenberg system

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MaRDI profile type

Publication

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cites work

Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type

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Instability and Pattern Formation in Three-Species Food Chain Model via Holling Type II Functional Response on a Circular Domain

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Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion

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Turing–Hopf Bifurcation and Spatio-Temporal Patterns of a Ratio-Dependent Holling–Tanner Model with Diffusion

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Turing-Hopf bifurcation and multi-stable spatio-temporal patterns in the Lengyel-Epstein system

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Global dynamics and complex patterns in Lotka-Volterra systems: the effects of both local and nonlocal intraspecific and interspecific competitions

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<i>A priori</i> bounds and global existence of solutions of the steady-state Sel'kov model

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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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Stability analysis of Turing patterns generated by the Schnakenberg model

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Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model

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Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations

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Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions

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Elements of applied bifurcation theory

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Bifurcation analysis of an extended Klausmeier–Gray–Scott model with infiltration delay

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Spatiotemporal Dynamics of a Modified Leslie–Gower Model with Weak Allee Effect

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Turing patterns in the Lengyel-Epstein system for the CIMA reaction

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Qualitative analysis of steady states to the Sel'kov model

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Turing-Hopf bifurcation in the reaction-diffusion equations and its applications

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The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system

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Dynamic analysis of a plant-water model with spatial diffusion

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The chemical basis of morphogenesis

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Non-constant positive steady states of the Sel'kov model.

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The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model

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Steady state bifurcations for a glycolysis model in biochemical reaction

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Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system

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Pattern formation in a general glycolysis reaction-diffusion system

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Identifiers

zbMATH Open document ID

1541.35039

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Mathematics Subject Classification ID

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10.1142/S0218127423500128

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Sitelinks

Mathematics(1 entry)

mardi Publication:6537608