Pattern formation in terms of semiclassically limited distribution on lower dimensional manifolds for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation

DOI10.1088/1751-8113/47/2/025209zbMath1305.45002arXiv1306.3765OpenAlexW3099954369MaRDI QIDQ5402205

E. A. Levchenko, A. Yu. Trifonov, Alexander Shapovalov

Publication date: 6 March 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3765

zbMATH Keywords

pattern formation semiclassical approximation Fisher-Kolmogorov-Petrovskii-Piskunov equation nonlocal population dynamics

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Reaction-diffusion equations (35K57) Physiological, cellular and medical topics (92C99) Pattern formations in context of PDEs (35B36)

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Some aspects of nonlinearity and self-organization in biosystems on examples of localized excitations in the DNA molecule and generalized Fisher-KPP model ⋮ Asymptotic behavior of the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with anomalouos diffusion ⋮ Nonlinear self-organized population dynamics induced by external selective nonlocal processes ⋮ An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation ⋮ Approximate solutions of the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with quasilocal competitive losses ⋮ Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type

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