The Fokker-Planck law of diffusion and pattern formation in heterogeneous environments

DOI10.1007/s00285-016-0966-8zbMath1351.35226OpenAlexW2274721036WikidataQ46605912 ScholiaQ46605912MaRDI QIDQ314517

Frank M. Hilker, Horst Malchow, Michael Bengfort

Publication date: 16 September 2016

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

Full work available at URL: https://doi.org/10.1007/s00285-016-0966-8

zbMATH Keywords

pattern formationreaction-diffusion equationsTuring patternsecological diffusionmovement behaviorplankton bloomsspatial inhomogeneitiesspeed of invasion

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Fokker-Planck equations (35Q84) Pattern formations in context of PDEs (35B36)

Related Items (8)

Survival analysis of a single-species population model with fluctuations and migrations between patches ⋮ Survival analysis of single-species population diffusion models with chemotaxis in polluted environment ⋮ Second-order analysis of Fokker–Planck ensemble optimal control problems ⋮ Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains ⋮ On cognitive epidemic models: spatial segregation versus nonpharmaceutical interventions ⋮ Patchy, not patchy, or how much patchy? Classification of spatial patterns appearing in a model of biological invasion ⋮ Invasion dynamics in an intraguild predation system with predator-induced defense ⋮ Diffusion of Biological Organisms: Fickian and Fokker--Planck Type Diffusions

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