Analysis of Spot Patterns on a Coordinate-Invariant Model for Vegetation on a Curved Terrain

DOI10.1137/20M1326271zbMath1462.35039OpenAlexW3098833062MaRDI QIDQ4983515

Leo Tzou, Justin C. Tzou

Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1326271

zbMATH Keywords

Hadamard parametrixmatched asymptotic analysissurface Green's functionlocalized vegetation patternssingularly perturbed reaction-advection-diffusion system

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Related Items

Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains, Dynamics of patchy vegetation patterns in the two-dimensional generalized Klausmeier model, Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect, Nonlocal delay driven spatiotemporal patterns in a single-species reaction-diffusion model

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