Slow travelling wave solutions of the nonlocal Fisher-KPP equation

DOI10.1088/1361-6544/ab6f4fOpenAlexW3003450623MaRDI QIDQ5019833

John Billingham

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab6f4f

zbMATH Keywords

matched asymptotic expansionstravelling wave solutionnonlocal differential equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

The periodic traveling waves in a diffusive periodic SIR epidemic model with nonlinear incidence ⋮ Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near local limit ⋮ Traveling waves in delayed reaction-diffusion equations in biology ⋮ Semi-infinite travelling waves arising in a general reaction–diffusion Stefan model ⋮ Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies ⋮ Non-local effects on travelling waves arising in a moving-boundary reaction–diffusion model

Uses Software

• advanpix

Cites Work

• Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation
• Rapid traveling waves in the nonlocal Fisher equation connect two unstable states
• Differential equations with infinitely many derivatives and the Borel transform
• Local vs. non-local interactions in population dynamics
• Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach
• Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
• The Exponentially Convergent Trapezoidal Rule
• Gravity-driven thin-film flow using a new contact line model
• The non-local Fisher–KPP equation: travelling waves and steady states
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
• Neural Fields
• On a non-local equation arising in population dynamics
• Elliptic Partial Differential Equations
• Travelling front solutions of a nonlocal Fisher equation

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