Domain-Dependent Stability Analysis of a Reaction–Diffusion Model on Compact Circular Geometries
DOI10.1142/S0218127418300240zbMath1395.35121arXiv1801.03151OpenAlexW2803141230WikidataQ129395006 ScholiaQ129395006MaRDI QIDQ4583266
Wakil Sarfaraz, Anotida Madzvamuse
Publication date: 28 August 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.03151
reaction-diffusion systemdynamical systemparameter spacepolar coordinateTuring diffusion-driven instabilitybifurcation analysitability analysi
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15)
Related Items (4)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fully implicit time-stepping schemes and non-linear solvers for systems of reaction-diffusion equations
- Spatiotemporal dynamics in a delayed diffusive predator model
- Adaptive moving mesh methods
- Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains
- The surface finite element method for pattern formation on evolving biological surfaces
- Global existence for semilinear reaction-diffusion systems on evolving domains
- Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion
- Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
- Stability analysis of reaction-diffusion systems with constant coefficients on growing domains
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Propagating waves in discrete bistable reaction-diffusion systems
- Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
- Boundary-driven instability
- A moving grid finite element method applied to a model biological pattern generator
- Classification of parameter spaces for a reaction-diffusion model on stationary domains
- Stability analysis of Turing patterns generated by the Schnakenberg model
- Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model
- Complex functions and images
- Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity
- Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
- Bifurcation analysis of reaction-diffusion Schnakenberg model
- A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains
- Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
- Implicit--Explicit Timestepping with Finite Element Approximation of Reaction--Diffusion Systems on Evolving Domains
- The Finite Element Method: Theory, Implementation, and Applications
- Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain
- Numerical Experiments for Reaction-Diffusion Equations Using Exponential Integrators
- A chemical approach to designing Turing patterns in reaction-diffusion systems.
- On Galerkin Methods in Semilinear Parabolic Problems
- Spectral Methods in MATLAB
- Estimating the error of numerical solutions of systems of reaction-diffusion equations
- The chemical basis of morphogenesis
- A Simple Mesh Generator in MATLAB
- Time-Discrete Higher-Order ALE Formulations: Stability
This page was built for publication: Domain-Dependent Stability Analysis of a Reaction–Diffusion Model on Compact Circular Geometries