Numerical algorithms for a variational problem of the spatial segregation of reaction-diffusion systems

DOI10.1016/j.amc.2013.03.074zbMath1291.65257arXiv1206.1388OpenAlexW4301837411MaRDI QIDQ2453276

Farid Bozorgnia, Avetik Arakelyan

Publication date: 6 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1388

zbMATH Keywords

segregationconvergencenumerical examplesreaction-diffusion systemsfinite differencefree boundary problemsLotka-Volterra model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35)

Related Items (5)

On a class of singularly perturbed elliptic systems with asymptotic phase segregation ⋮ A free boundary problem for a predator-prey model with nonlinear prey-taxis. ⋮ Uniqueness of a solution to a general class of discrete system defined on connected graphs ⋮ Convergence of the finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems ⋮ A numerical approach for a general class of the spatial segregation of reaction-diffusion systems arising in population dynamics

Cites Work

• Unnamed Item
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• Uniqueness and least energy property for solutions to strongly competing systems
• Competing species equations with diffusion, large interactions, and jumping nonlinearities
• Dynamics of Lotka-Volterra competition systems with large interaction
• Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions
• On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions
• Asymptotic estimates for the spatial segregation of competitive systems
• Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
• Numerical Algorithm for Spatial Segregation of Competitive Systems
• On the long term spatial segregation for a competition-diffusion system
• Spatial segregation limit of a competition–diffusion system
• Dynamics of Interfaces in Competition-Diffusion Systems
• Competing species systems with diffusion and large interactions
• Partial regularity for weak solutions of an elliptic free boundary problem
• A variational problem for the spatial segregation of reaction-diffusion systems

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