Pattern formation in the Brusselator system
From MaRDI portal
Publication:2567300
DOI10.1016/j.jmaa.2004.12.026zbMath1108.35049OpenAlexW2128559698MaRDI QIDQ2567300
Publication date: 29 September 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.026
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (49)
Analysis on a generalized Sel'kov-Schnakenberg reaction-diffusion system ⋮ Bifurcation and stability analysis of steady states to a Brusselator model ⋮ Cross-diffusion induced stationary patterns in a prey-predator system with parental care for predators ⋮ Local and global bifurcation of steady states to a general Brusselator model ⋮ Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law ⋮ Bifurcation analysis of a diffusive plant-wrack model with tide effect on the wrack ⋮ Stability and Bifurcation Analysis in a Diffusive Brusselator-Type System ⋮ Qualitative analysis of a Belousov-Zhabotinskii reaction model ⋮ Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay ⋮ Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system ⋮ Global dissipative dynamics of the extended Brusselator system ⋮ New conditions for pattern solutions of a Brusselator model ⋮ On pattern formation in the Gray-Scott model ⋮ Bifurcation behaviors of steady-state solution to a discrete general Brusselator model ⋮ Hopf bifurcations in general systems of Brusselator type ⋮ Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions ⋮ Nonexistence of nonconstant positive steady states of a diffusive predator-prey model ⋮ Spatiotemporal patterns of a homogeneous diffusive predator-prey system with Holling type III functional response ⋮ Pattern formation in a general two-cell Brusselator model ⋮ Hopf bifurcation in general Brusselator system with diffusion ⋮ Coexistence of activator and inhibitor for Brusselator diffusion system in chemical or biochemical reactions ⋮ Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions ⋮ Pattern formation of Brusselator in the reaction-diffusion system ⋮ An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment ⋮ SEMI-ANALYTICAL SOLUTIONS FOR THE BRUSSELATOR REACTION–DIFFUSION MODEL ⋮ Turing instability and spatially homogeneous Hopf bifurcation in a diffusive Brusselator system ⋮ Turing instability of Brusselator in the reaction-diffusion network ⋮ Periodicity and limit cycle perturbation analysis of a predator-prey model with interspecific species' interference, predator additional food and dispersal ⋮ CROSS-DIFFUSION INDUCED TURING PATTERNS IN A SEX-STRUCTURED PREDATOR–PREY MODEL ⋮ Diffusion-driven instability and Hopf bifurcation in Brusselator system ⋮ Pattern formation of a biomass-water reaction-diffusion model ⋮ Qualitative analysis for a biological depletion model ⋮ Pattern formation of a coupled two-cell Brusselator model ⋮ TURING PATTERNS IN GENERAL REACTION-DIFFUSION SYSTEMS OF BRUSSELATOR TYPE ⋮ Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues ⋮ STABILITY OF T-PERIODIC SOLUTION ON THE EXTENDED SIMPLIFIED BRUSSELATOR MODEL ⋮ \(L^2\)-energy stability via new dependent variables for circumventing strongly nonlinear reaction terms ⋮ Stability of the \(T\) -periodic solution on the ES-S model ⋮ The effect of delayed feedback on the dynamics of an autocatalysis reaction–diffusion system ⋮ Steady-State Bifurcation for a Biological Depletion Model ⋮ On steady-state solutions of the Brusselator-type system ⋮ Spatiotemporal complexity in a diffusive Brusselator model ⋮ Non-constant stationary solutions to a prey-predator model with diffusion ⋮ Bifurcation analysis of a single species reaction-diffusion model with nonlocal delay ⋮ Qualitative analysis of the Oregonator model ⋮ A highly accurate time-space pseudospectral approximation and stability analysis of two dimensional Brusselator model for chemical systems ⋮ EFFECT OF TIME DELAY ON SPATIAL PATTERNS IN A AIRAL INFECTION MODEL WITH DIFFUSION ⋮ Patterns in a freshwater tussock sedge model ⋮ The stability of localized spikes for the 1-D Brusselator reaction–diffusion model
Cites Work
- Unnamed Item
- Diffusion vs cross-diffusion: An elliptic approach
- Existence and uniqueness of coexistence states for a predator-prey model with diffusion
- Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
- Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
- On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion
- Pattern formation in three-dimensional reaction-diffusion systems
- Non-constant positive steady states of the Sel'kov model.
- Diffusion, self-diffusion and cross-diffusion
- Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
- A counterexample on competing species equations
- Pattern formation in coupled reaction-diffusion systems
- On the symbiotic Lotka-Volterra model with diffusion and transport effects
- Existence and instability of Neumann layer solutions for a 3-component Lotka-Volterra model with diffusion
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Qualitative behaviour of positive solutions of a predator—prey model: effects of saturation
- Brussellator Isolas
- Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square
- Singular Perturbation Approach to a 3-component Reaction-Diffusion System Arising in Population Dynamics
- Some uniqueness and exact multiplicity results for a predator-prey model
- Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
- Qualitative analysis of a ratio-dependent predator–prey system with diffusion
- The chemical basis of morphogenesis
- Global bifurcation in the Brusselator system
- A system of resource-based growth models with two resources in the unstirred chemostat
This page was built for publication: Pattern formation in the Brusselator system