Turing pattern dynamics and adaptive discretization for a super-diffusive Lotka-Volterra model

DOI10.1007/S00285-015-0917-9zbMath1338.35041OpenAlexW978125476WikidataQ40685871 ScholiaQ40685871MaRDI QIDQ284056

Ricardo Ruiz-Baier, Mostafa Bendahmane, Canrong Tian

Publication date: 17 May 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-015-0917-9

zbMATH Keywords

linear stabilitycross-diffusionamplitude equationsTuring instabilityfractional-in-space operatorfully adaptive multiresolutionLévy flightsshifted Grünwald gradient approximationssuper-diffusionweakly nonlinear analysis

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Pattern formations in context of PDEs (35B36)

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Stability analysis in a diffusional immunosuppressive infection model with delayed antiviral immune response ⋮ Bistability and Turing pattern induced by cross fraction diffusion in a predator-prey model ⋮ Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model ⋮ Turing Patterns in the Lengyel–Epstein System with Superdiffusion ⋮ Spatiotemporal dynamics in epidemic models with Lévy flights: a fractional diffusion approach ⋮ Group methods applied to a reaction-diffusion system generalizing \textit{Proteus mirabilis} models ⋮ Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model ⋮ Spatiotemporal dynamics induced by delay and diffusion in a predator-prey model with mutual interference among the predator ⋮ Pattern selection in the 2D FitzHugh-Nagumo model ⋮ Spatial patterns of a fractional type cross-diffusion Holling-Tanner model

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