On the stability of the state 1 in the non-local Fisher-KPP equation in bounded domains

DOI10.1016/J.CRMA.2018.04.016zbMath1392.35187arXiv1801.05653OpenAlexW2964319643MaRDI QIDQ1636156

Camille Pouchol

Publication date: 4 June 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05653

zbMATH Keywords

Lyapunov functionsemilinear parabolic equationreaction-diffusion equationFischer-KPP equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Integro-partial differential equations (35R09)

Related Items (3)

Global boundedness, hair trigger effect, and pattern formation driven by the parametrization of a nonlocal Fisher-KPP problem ⋮ Phase portrait control for 1D monostable and bistable reaction–diffusion equations ⋮ Control of reaction-diffusion models in biology and social sciences

Cites Work

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• Parabolic equations in biology. Growth, reaction, movement and diffusion
• On the nonlocal Fisher–KPP equation: steady states, spreading speed and global bounds
• The non-local Fisher–KPP equation: travelling waves and steady states

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