71 citations · 105 across the 8 of their papers we have counts for
11 papers
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…
Forced waves of a three species predator-prey system with a pair of weak-strong competing preys in a shifting environment
Thomas Giletti, Jong-Shenq Guo
In this paper, we investigate so-called forced wave solutions of a three components reaction-diffusion system from population dynamics. Our system involves three species that are r…
Forced waves for a three-species predator-prey system with nonlocal dispersal in a shifting environment
Jong-Shenq Guo, Francois Hamel, C. -C Wu
We consider a three-species predator-prey system involving two competing predators and one prey. The species diffuse with nonlocal dispersal kernels with possibly non-compact suppo…
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…
Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys
Yu-Shuo Chen, Thomas Giletti, Jong-Shenq Guo
We investigate the traveling wave solutions of a three-species system involving a single predator and a pair of strong-weak competing preys. Our results show how the predation may…
Bifurcation diagram of a Robin boundary value problem arising in MEMS
Jong-Shenq Guo, N. I. Kavallaris, Chi-Jen Wang +1
We consider a parabolic problem with Robin boundary condition which arises when the edge of a micro-electro-mechanical-system (MEMS) device is connected with a flexible nonideal su…
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…
Excluding blowup at zero points of the potential by means of Liouville-type theorems
Jong-Shenq Guo, Philippe Souplet
We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations. As an application, for…
Traveling waves for a lattice dynamical system arising in a diffusive endemic model
Yan-Yu Chen, Jong-Shenq Guo, Francois Hamel
This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the existence of traveling wave…
No touchdown at zero points of the permittivity profile for the MEMS problem
Jong-Shenq Guo, Phlippe Souplet
We study the quenching behavior for a semilinear heat equation arising in models of micro-electro mechanical systems (MEMS). The problem involves a source term with a spatially dep…
Propagation and blocking in periodically hostile environments
Jong-Shenq Guo, Francois Hamel
We study the persistence and propagation (or blocking) phenomena for a species in periodically hostile environments. The problem is described by a reaction-diffusion equation with…