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math.AP2025
Uniqueness and stability of monostable pulsating fronts for multi-dimensional reaction-diffusion-advection systems in periodic media
Li-Jun Du, Wan-Tong Li, Ming-Zhen Xin
In this paper, we consider the phenomenon of monostable pulsating fronts for multi-dimensional reaction-diffusion-advection systems in periodic media. Recent results have addressed…
math.AP2018
Pulsating Fronts for a Bistable Lotka-Volterra Competition System with Advection in a Periodic Habitat
Li-Jun Du, Wan-Tong Li, Shi-Liang Wu
This paper is concerned with the following Lotka-Volterra competition system with advection in a periodic habitat \begin{equation*} \begin{cases} \frac{\partial u_1}{\partial t} =d…
math.AP2018
Asymptotic Behavior of Traveling Fronts and Entire Solutions for a Periodic Bistable Competition-Diffusion System
Li-Jun Du, Wan-Tong Li, Jia-Bing Wang
This paper is concerned with a time periodic competition-diffusion system \begin{equation*} \begin{cases} {u_t}={u_{xx}}+u(r_1(t)-a_1(t)u-b_1(t)v),\quad t>0,~x\in \mathbb R, {v_t}=…