Self-organization analysis for a nonlocal convective Fisher equation

DOI10.1016/j.physleta.2008.12.034zbMath1227.35058OpenAlexW1994797468MaRDI QIDQ649710

R. Morgado, Mendeli H. Vainstein, Jefferson A. R. da Cunha, André L. A. Penna, Fernando Albuquerque Oliveira

Publication date: 5 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.12.034

zbMATH Keywords

population dynamicsnonlocal interactionconvective Fisher equationpatter formation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Diffusion (76R50) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Population dynamics (general) (92D25) Reaction effects in flows (76V05) Pattern formations in context of PDEs (35B36)

Related Items (8)

Pattern transitions and complexity for a nonlocal logistic map ⋮ 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 ⋮ Estimate of accuracy of solution of the nonlocal Fisher-Kolomogorov-Petrovskii-Piskunov equation ⋮ An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation ⋮ Asymptotics of the multidimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation near a quasistationary solution ⋮ Symmetry operators of the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation with a quadratic operator ⋮ Nonlocal pattern formation effects in evolutionary population dynamics

Cites Work

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• Gene-culture waves of advance
• Analytic solutions of a nonlinear convective equation in population dynamics
• Pattern formation outside of equilibrium
• On a Nonlinear Diffusion Equation Describing Population Growth
• Reaction-diffusion patterns in confined chemical systems

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