A domain-dependent stability analysis of reaction-diffusion systems with linear cross-diffusion on circular domains

DOI10.1016/J.NONRWA.2023.104042MaRDI QIDQ6490177

Raquel Barreira, Wakil Sarfaraz, Gülsemay Yiğit, Anotida Madzvamuse

Publication date: 23 April 2024

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

pattern formationspatiotemporal dynamicsreaction-cross-diffusion systemscircular disc domainscross-diffusion-driven instabilitydomain-dependent instability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Cites Work

• Unnamed Item
• Fully implicit time-stepping schemes and non-linear solvers for systems of reaction-diffusion equations
• The surface finite element method for pattern formation on evolving biological surfaces
• 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
• Positivity of cubic polynomials on intervals and positive spline interpolation
• Classification of parameter spaces for a reaction-diffusion model on stationary domains
• Implicit-explicit methods for reaction-diffusion problems in pattern formation
• Bulk-surface virtual element method for systems of PDEs in two-space dimensions
• Turing pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodeposition
• Cross-diffusion induced Turing instability for a competition model with saturation effect
• A competition system with nonlinear cross-diffusion: exact periodic patterns
• Dynamics of periodic solutions in the reaction-diffusion glycolysis model: mathematical mechanisms of Turing pattern formation
• Turing patterns of an si epidemic model with cross-diffusion on complex networks
• Turing and wave instabilities in hyperbolic reaction-diffusion systems: the role of second-order time derivatives and cross-diffusion terms on pattern formation
• Cross diffusion induced spatiotemporal pattern in diffusive nutrient-plankton model with nutrient recycling
• Turing pattern analysis of a reaction-diffusion rumor propagation system with time delay in both network and non-network environments
• Positive steady states of a SI epidemic model with cross diffusion
• Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
• Cross-diffusion effects on a morphochemical model for electrodeposition
• Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
• Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds
• Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling
• Implicit--Explicit Timestepping with Finite Element Approximation of Reaction--Diffusion Systems on Evolving Domains
• Partial differential equations for self-organization in cellular and developmental biology
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Domain-Dependent Stability Analysis of a Reaction–Diffusion Model on Compact Circular Geometries
• Stability Analysis and Parameter Classification of a Reaction-Diffusion Model on an Annulus
• Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
• Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces
• Cross-diffusion-induced patterns in an SIR epidemic model on complex networks
• Characterizing the Effects of Self- and Cross-Diffusion on Stationary Patterns of a Predator–Prey System
• Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems
• The Mathematical Theory of Finite Element Methods
• Turing instabilities in general systems
• Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
• Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth

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