4 papers · 1 filter
Pattern formation in the doubly-nonlocal Fisher-KPP equation
Christian Kuehn, Pasha Tkachov
We study the existence, bifurcations, and stability of stationary solutions for the doubly-nonlocal Fisher-KPP equation. We prove using Lyapunov-Schmidt reduction that under suitab…
Doubly nonlocal Fisher-KPP equation: Front propagation
Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov
We study propagation over of the solution to a nonlocal nonlinear equation with anisotropic kernels, which can be interpretted as a doubly nonlocal reaction-diffusio…
Doubly nonlocal Fisher-KPP equation: Speeds and uniqueness of traveling waves
Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov
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…
Doubly nonlocal Fisher-KPP equation: Existence and properties of traveling waves
Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov
We consider a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions in a space of bounded functio…