13 citations · 18 across the 9 of their papers we have counts for
14 papers · 1 filter
Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal
Wonhyung Choi, Thomas Giletti, Jong-Shenq Guo
We are concerned with the persistence of both predator and prey in a diffusive predator-prey system with a climate change effect, which is modeled by a spatial-temporal heterogenei…
On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals
Matthieu Alfaro, Thomas Giletti, Yong-Jung Kim +2
We develop general heterogeneous nonlocal diffusion models and investigate their connection to local diffusion models by taking a singular limit of focusing kernels. We reveal the…
Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity
Grégory Faye, Thomas Giletti, Matt Holzer
We determine the asymptotic spreading speed of the solutions of a Fisher-KPP reaction-diffusion equation, starting from compactly supported initial data, when the diffusion coeffic…
Asymptotic spreading speeds for a predator-prey system with two predators and one prey
Arnaud Ducrot, Thomas Giletti, Jong-Shenq Guo +1
This paper investigates the large time behaviour of a three species reaction-diffusion system, modelling the spatial invasion of two predators feeding on a single prey species. In…
Admissible speeds in spatially periodic bistable reaction-diffusion equations
Weiwei Ding, Thomas Giletti
Spatially periodic reaction-diffusion equations typically admit pulsating waves which describe the transition from one steady state to another. Due to the heterogeneity, in general…
Spreading and vanishing for a monostable reaction-diffusion equation with forced speed
Juliette Bouhours, Thomas Giletti
Invasion phenomena for heterogeneous reaction-diffusion equations are contemporary and challenging questions in applied mathematics. In this paper we are interested in the question…