Influence of the environment on pattern formation in the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov model

DOI10.1007/S11182-018-1501-8zbMath1405.35230OpenAlexW2896783924WikidataQ129158442 ScholiaQ129158442MaRDI QIDQ1711334

Alexander Shapovalov, Valery V. Obukhov

Publication date: 17 January 2019

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-018-1501-8

zbMATH Keywords

pattern formationnonlocal generalized Fisher-Kolmogorov-Petrovskii-Piskunov equationselfconsistent model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Cell biology (92C37)

Related Items (1)

Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type

Cites Work

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• The one-dimensional Fisher-Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation
• Symmetry operators of the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation with a quadratic operator
• Some aspects of nonlinearity and self-organization in biosystems on examples of localized excitations in the DNA molecule and generalized Fisher-KPP model
• Mechanistic model for cancer growth and response to chemotherapy
• Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
• A chemical approach to designing Turing patterns in reaction-diffusion systems.
• The chemical basis of morphogenesis
• An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation

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