Doubly nonlocal Fisher-KPP equation: Speeds and uniqueness of traveling waves

Abstract

We study traveling waves for a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions. We describe relations between speeds and asymptotic of profiles of traveling waves, and prove the uniqueness of the profiles up to shifts.

This is the second part of a split generalization of our preprint arXiv:1508.02215