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Article

Travelling wave speeds of nonlocally perturbed reaction diffusion equations

Angela Stevens , Dkhil Fathi, -0001

Asymptotic Analysis, 46, 1, 81-91, 2006,

Résumé

In this paper we consider a nonlocal integro-differential model as it was discussed by Bates and Chen [Electron. J. Differential Equations 1999(26) (1999), 1–19]. It is known that unique, stable traveling waves exist for the classical reaction–diffusion model as well as for the nonlocal model and for combinations of both for certain bistable nonlinearities. Here we are concerned with the traveling wave speed and how small perturbations with a nonlocal term affect the speed of the original reaction–diffusion problem. We show that an expansion for the wave speed of the perturbed problem exists and calculate the sign of the first-order coefficient.