Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media

Abstract

We study front propagation phenomena for a large class of nonlocal KPP-type reaction-diffusion equations in oscillatory environments, which model various forms of population growth with periodic dependence. The nonlocal diffusion is an anisotropic integro-differential operator of order $\alpha \in (0,2)$.

27 pages

References in corpus (2)

• Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited
• A microscopic probabilistic description of a locally regulated population and macroscopic approximations