2 citations · 3 across the 13 of their papers we have counts for
15 papers
Sharp Thresholds for Linear Determinacy and Zero Wave Speed in Lotka-Volterra Competition-Diffusion Systems
Shizhao Ma, Dongyuan Xiao, Maolin Zhou
We study two sharp competition thresholds in the Lotka-Volterra competition-diffusion system: the zero-speed threshold for bistable traveling fronts and the linear-determinacy thre…
Fastest-Species Selection in Critical Multispecies Competition-Diffusion Systems via an Entropy Approach
Haozhe Shu, Dongyuan Xiao
We study an -species competition--diffusion system with a common competition term, for which the associated ODE system admits infinitely many equilibria. For , Alfaro and X…
Propagation Direction of Bistable Traveling Fronts in the Lotka--Volterra Competition--Diffusion System
Shizhao Ma, Dongyuan Xiao, Maolin Zhou
We study the propagation direction of bistable traveling fronts in the two-species Lotka--Volterra competition--diffusion system under strong competition. A complete characterizati…
Sharp logarithmic corrections for a strong-weak Lotka-Volterra competition system
Hongjun Guo, Dongyuan Xiao, Maolin Zhou
We study the one-dimensional strong-weak Lotka-Volterra competition-diffusion system \[ u_t=u_{xx}+u(1-u-av),\qquad v_t=dv_{xx}+rv(1-v-bu), \] with compactly supported initial data…
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…
Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems
Changhong Wu, Dongyuan Xiao, Maolin Zhou
In this paper, we present a complete classification of traveling wave solutions for monostable systems within a unified framework. To this end, we introduce a novel technique, refe…
Sufficient conditions for determining the sign of the wave speed in the Lotka-Volterra competition system
Dongyuan Xiao
This paper mainly focuses on the sign of the wave speed in the Lotka-Volterra competition system of bistable type, also known as the strong-strong competition case. The traveling w…
On the propagation speed of the single monostable equation
Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou
In this paper, we first focus on the speed selection problem for the reaction-diffusion equation of the monostable type. By investigating the decay rates of the minimal traveling w…
The long-time behavior of solutions of a three-component reaction-diffusion model for the population dynamics of farmers and hunter-gatherers: the different motility case
Dongyuan Xiao, Ryunosuke Mori
In this paper, we investigate the spreading properties of solutions of the Aoki-Shida-Shigesada model. This model is a three-component reaction-diffusion system that delineates the…
Linear vs. nonlinear speed selection of the front propagation into unstable states
Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou
In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary conditi…
Sharp estimates for the spreading speeds of the Lotka-Volterra competition-diffusion system: the strong-weak type
Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou
We consider the classical two-species Lotka-Volterra competition-diffusion system in the strong-weak competition case. When the corresponding minimal speed of the traveling waves i…
Lotka-Volterra competition-diffusion system: the critical competition case
Matthieu Alfaro, Dongyuan Xiao
We consider the reaction-diffusion competition system in the so-called {\it critical competition case}. The associated ODE system then admits infinitely many equilibria, which make…
On a three-component degenerate reaction-diffusion model for the population of farmers and hunter-gatherers
Dongyuan Xiao
In this paper, we investigate the expanding patterns and spreading speed of solutions of farmer and hunter-gatherer model which is a three-component degenerate reaction-diffusion s…
Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers
Dongyuan Xiao, Mori Ryunosuke
In this paper, we investigate the spreading properties of solutions of farmer and hunter-gatherer model which is a three-component reaction-diffusion system. Ecologically, the mode…
A variational problem associated with the minimal speed of traveling waves for spatially periodic KPP type equations
Dongyuan Xiao, Ryunosuke Mori
We consider a variational problem associated with the minimal speed of pulsating traveling waves of the equation , , where the coeffic…