38 citations · 71 across the 9 of their papers we have counts for
7 papers · 1 filter
On stability of traveling wave solutions for integro-differential equations related to branching Markov processes
Pasha Tkachov
The aim of this paper is to prove stability of traveling waves for integro-differential equations connected with branching Markov processes. In other words, the limiting law of the…
Spatial growth processes with long range dispersion: microscopics, mesoscopics, and discrepancy in spread rate
Viktor Bezborodov, Luca Di Persio, Tyll Krueger +1
We consider the speed of propagation of a {continuous-time continuous-space} branching random walk with the additional restriction that the birth rate at any spatial point cannot e…
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…
An Ikehara-type theorem for functions convergent to zero
Dmitri Finkelshtein, Pasha Tkachov
We prove an analogue of the Ikehara theorem for positive non-increasing functions convergent to zero, generalising the results postulated in Diekmann, Kaper (1978, Nonlinear Anal.…
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…