Spatiotemporal patterns of a reaction-diffusion substrate-inhibition Seelig model
From MaRDI portal
Publication:523096
DOI10.1007/s10884-015-9444-zzbMath1366.35087OpenAlexW1997342450MaRDI QIDQ523096
Siyu Liu, Feng-Qi Yi, Necibe Tuncer
Publication date: 20 April 2017
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-015-9444-z
Turing patternsglobal bifurcation analysisinvariant rectanglelumped parameter assumptionSeelig reaction-diffusion chemical model
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Pattern formations in context of PDEs (35B36)
Related Items (14)
Dynamics and spatiotemporal pattern formations of a homogeneous reaction-diffusion Thomas model ⋮ Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme ⋮ Diffusion-driven instability of both the equilibrium solution and the periodic solutions for the diffusive sporns-seelig model ⋮ Dynamical behavior and bifurcation analysis of a homogeneous reaction-diffusion Atkinson system ⋮ Bistability and Turing pattern induced by cross fraction diffusion in a predator-prey model ⋮ Spatiotemporal complexity in a Leslie-Gower type predator-prey model near Turing-Hopf point ⋮ On the dynamics of the diffusive Field-Noyes model for the Belousov-Zhabotinskii reaction ⋮ Spatiotemporal dynamics of a gene expression model with positive feedback loop ⋮ Turing patterns in a predator-prey reaction-diffusion model with seasonality and fear effect ⋮ A generalized Degn-Harrison reaction-diffusion system: asymptotic stability and non-existence results ⋮ Unnamed Item ⋮ Steady State Bifurcation and Patterns of Reaction–Diffusion Equations ⋮ Turing instability of the periodic solutions for the diffusive Sel'kov model with saturation effect ⋮ Spatiotemporal complexity in a diffusive Brusselator model
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions
- Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- Pattern formation in three-dimensional reaction-diffusion systems
- Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
- Simple and superlattice Turing patterns in reaction-diffusion systems: Bifurcation, bistability, and parameter collapse
- Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
- A chemical approach to designing Turing patterns in reaction-diffusion systems.
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- Chemical Turing Pattern Formation Analyses: Comparison of Theory with Experiment
- The chemical basis of morphogenesis
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
This page was built for publication: Spatiotemporal patterns of a reaction-diffusion substrate-inhibition Seelig model