Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model
From MaRDI portal
Publication:2843422
DOI10.1051/mmnp/20138304zbMath1280.34066OpenAlexW2101535368WikidataQ58925409 ScholiaQ58925409MaRDI QIDQ2843422
Luca Rossi, Perthame, Benoît, Gregoire Nadin, Leonid Ryzhik
Publication date: 22 August 2013
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/20138304
Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Boundary value problems for functional-differential equations (34K10) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36)
Related Items (27)
Monotone waves for non-monotone and non-local monostable reaction-diffusion equations ⋮ Traveling waves for the nonlocal diffusive single species model with Allee effect ⋮ Traveling waves in the nonlocal KPP-Fisher equation: different roles of the right and the left interactions ⋮ Branching and aggregation in self-reproducing systems ⋮ Bistable travelling waves for nonlocal reaction diffusion equations ⋮ Super-linear spreading in local and non-local cane toads equations ⋮ The Bramson logarithmic delay in the cane toads equations ⋮ Traveling waves in a nonlocal, piecewise linear reaction–diffusion population model ⋮ Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation ⋮ Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities ⋮ On bounded positive stationary solutions for a nonlocal Fisher-KPP equation ⋮ Slowly oscillating wavefronts of the KPP-Fisher delayed equation ⋮ A simple approach to the wave uniqueness problem ⋮ Traveling waves in delayed reaction-diffusion equations in biology ⋮ Existence and Dynamics of Strains in a Nonlocal Reaction-Diffusion Model of Viral Evolution ⋮ The spreading speed of an SIR epidemic model with nonlocal dispersal ⋮ On the existence of non-monotone non-oscillating wavefronts ⋮ Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach ⋮ A logistic equation with nonlocal interactions ⋮ Doubly nonlocal reaction-diffusion equations and the emergence of species ⋮ The Bramson delay in the non-local Fisher-KPP equation ⋮ The spreading speed of solutions of the non-local Fisher-KPP equation ⋮ Preface to the Issue Nonlocal Reaction-Diffusion Equations ⋮ Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model ⋮ Existence of bistable waves for a nonlocal and nonmonotone reaction-diffusion equation ⋮ On pushed wavefronts of monostable equation with unimodal delayed reaction ⋮ Traveling wave solutions in a nonlocal reaction-diffusion population model
This page was built for publication: Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model