126 citations · 191 across the 15 of their papers we have counts for
15 papers
Dynamics for nonlocal diffusion problems with a free boundary and a fixed boundary
Lei Li, Mingxin Wang
In this paper, we first consider two scalar nonlocal diffusion problems with a free boundary and a fixed boundary. We obtain the global existence, uniqueness and longtime behaviour…
Spatial Propagation in an Epidemic Model with Nonlocal Diffusion: the Influences of Initial Data and Dispersals
Wen-Bing Xu, Wan-Tong Li, Shigui Ruan
This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here the initial data…
Spatial Propagation in Nonlocal Dispersal Fisher-KPP Equations
Wen-Bing Xu, Wan-Tong Li, Shigui Ruan
In this paper we focus on three problems about the spreading speeds of nonlocal dispersal Fisher-KPP equations. First, we study the signs of spreading speeds and find that they are…
Curved fronts of bistable reaction-diffusion equations in spatially periodic media
Hongjun Guo, Wan-Tong Li, Rongsong Liu +1
In this paper, curved fronts are constructed for spatially periodic bistable reaction-diffusion equations under the a priori assumption that there exist pulsating fronts in every d…
Propagation Phenomena for Nonlocal Dispersal Equations in Exterior Domains
Shao-Xia Qiao, Wan-Tong Li, Jian-Wen Sun
This paper is concerned with the spatial propagation of nonlocal dispersal equations with bistable or multistable nonlinearity in exterior domains. We obtain the existence and uniq…
Asymptotic Behaviors for Nonlocal Diffusion Equations about the Dispersal Spread
Yuan-Hang Su, Wan-Tong Li, Fei-Ying Yang
This paper studies the effects of the dispersal spread, which characterizes the dispersal range, on nonlocal diffusion equations with the nonlocal dispersal operator $\frac{1}{σ^{m…
The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries
Meng Zhao, Yang Zhang, Wan-Tong Li +1
We consider an epidemic model with nonlocal diffusion and free boundaries, which describes the evolution of an infectious agents with nonlocal diffusion and the infected humans wit…
The generalised principal eigenvalue of time-periodic nonlocal dispersal operators and applications
Yuan-Hang Su, Wan-Tong Li, Yuan Lou +1
This paper is mainly concerned with the generalised principal eigenvalue for time-periodic nonlocal dispersal operators. We first establish the equivalence between two different ch…
A Lotka-Volterra competition model with nonlocal diffusion and free boundaries
Jia-Feng Cao, Wan-Tong Li, Jie Wang
This paper is concerned with a nonlocal diffusion Lotka-Volterra type competition model that consisting of a native species and an invasive species in a one-dimensional habitat wit…
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…
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}=…
The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
Jiafeng Cao, Yihong Du, Fang Li +1
We introduce and study a class of free boundary models with "nonlocal diffusion", which are natural extensions of the free boundary models in Du and Lin [17] and elsewhere, where "…
Spatial Dynamics of a Nonlocal Dispersal Population Model in a Shifting Environment
Wan-Tong Li, Jia-Bing Wang, Xiao-Qiang Zhao
This paper is concerned with spatial spreading dynamics of a nonlocal dispersal population model in a shifting environment where the favorable region is shrinking. It is shown that…
A Nonlocal Dispersal SIS Epidemic Model in Heterogeneous Environment
Fei-Ying Yang, Wan-Tong Li, Liang Zhang
This article is concerned with a nonlocal dispersal susceptible-infected-susceptible (SIS) epidemic model with Neumann boundary condition, where the rates of disease transmission a…
Dynamics of a Nonlocal Dispersal SIS Epidemic Model
Fei-Ying Yang, Wan-Tong Li
This paper is concerned with a nonlocal dispersal susceptible-infected-susceptible (SIS) epidemic model with Dirichlet boundary condition, where the rates of disease transmission a…