Approximate solutions of the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with quasilocal competitive losses

DOI10.1007/s11182-018-1236-6zbMath1485.35360OpenAlexW2783743460MaRDI QIDQ1742259

Alexander Shapovalov

Publication date: 11 April 2018

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

Full work available at URL: https://doi.org/10.1007/s11182-018-1236-6

zbMATH Keywords

perturbation methodseparation of variablesFisher-Kolmogorov-Petrovskii-Piskunov equationquasilocal competitive losses

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)

Nonlinear self-organized population dynamics induced by external selective nonlocal processes

Cites Work

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• The one-dimensional Fisher-Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation
• The role of porous media in modeling flow and heat transfer in biological tissues.
• Existence and uniqueness of entire solutions for a reaction-diffusion equation
• Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
• Pattern formation in terms of semiclassically limited distribution on lower dimensional manifolds for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
• Exact analytical solutions for nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation

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