Numerical analysis for a three interacting species model with nonlocal and cross diffusion

DOI10.1051/M2AN/2014028zbMath1314.65115OpenAlexW2057039902MaRDI QIDQ4981952

Verónica Anaya, Mauricio Sepúlveda, Mostafa Bendahmane

Publication date: 23 March 2015

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/147971

zbMATH Keywords

convergencenumerical examplereaction-diffusion systemfinite volume schemefood chain modelnonlocal and cross diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) PDEs of mixed type (35M10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (6)

Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion-fluid system ⋮ Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system ⋮ Numerical analysis of a three-species chemotaxis model ⋮ Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy ⋮ A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion ⋮ Finite‐volume scheme for a degenerate cross‐diffusion model motivated from ion transport

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