5 papers · 1 filter
Traveling waves of a reaction-diffusion system with partially coupled diffusion
Thomas Giletti, Hirofumi Izuhara, Harunori Monobe
This work is devoted to the study of traveling wave solutions of reaction-diffusion systems, where the diffusion rate of~, the second component, depends on~, the first compon…
Spreading dynamics for diffusive competition systems in shifting environments
Thomas Giletti, Jong-Shenq Guo
We study the spreading dynamics for two-species diffusive competition systems in shifting environments caused by climate changes. Our main goal is to derive conditions for extincti…
Spreading properties of the Fisher--KPP equation when the intrinsic growth rate is maximal in a moving patch of bounded size
Thomas Giletti, Léo Girardin, Hiroshi Matano
This paper is concerned with spreading properties of space-time heterogeneous Fisher--KPP equations in one space dimension. We focus on the case of everywhere favorable environment…
Stability of propagating terraces in spatially periodic multistable equations in
Thomas Giletti, Luca Rossi
In this paper, we study the large time behaviour of solutions of multistable reaction-diffusion equations in , with a spatially periodic heterogeneity. By multistable…
The Bramson correction in the Fisher-KPP equation: from delay to advance
Matthieu Alfaro, Thomas Giletti, Dongyuan Xiao
We consider the solution to the scalar Fisher-KPP equation with front-like initial data, focusing on the location of its level sets at large times, particularly their deviation fro…