34 citations · 54 across the 11 of their papers we have counts for
14 papers
Precise propagation rates of the fractional Fisher-KPP equation with free boundaries
Huyuan Chen, Yihong Du, Wenjie Ni
In this paper, we determine the propagation rates of the Fisher-KPP equation with free boundaries and fractional diffusion , which was considered in \cite{CDN26}…
The fractional Fisher-KPP equation with free boundaries
Huyuan Chen, Yihong Du, Wenjie Ni
In this paper, we consider a free boundary problem with fractional diffusion , as a model for species spreading, which can be viewed as a natural extension of the…
Trichotomy dynamics of a free boundary model for biological invasion
Hongkai Cao, Yihong Du, Wenjie Ni +1
It is well known that the reaction-diffusion equation with compactly supported nonnegative initial functions exhibits trichotomy dynamics for bistable and combus…
Convergence to a receding wave in a monostable free boundary problem
Hongkai Cao, Yihong Du, Wenjie Ni
We study a monostable reaction-diffusion equation of the form over a semi-infinite spatial domain , with the free boundary whose evolutio…
Invasion dynamics of super invaders: Elimination of Allee effects by a strategy at the range boundary
Yihong Du, Ling Li, Wenjie Ni +1
Using a reaction-diffusion model with free boundaries in one space dimension for a single population species with density and population range , we demonstra…
Asymptotic limit of the principal eigenvalue of asymmetric nonlocal diffusion operators and propagation dynamics
Yihong Du, Xiangdong Fang, Wenjie Ni
For fixed , and a general non-symmetric kernel function satisfying a standard assumption, we consider the nonlocal diffusion operator \begin{align*} \bf…
Long-time dynamics of a competition model with nonlocal diffusion and free boundaries: Chances of successful invasion
Yihong Du, Wenjie Ni, Linfei Shi
This is a continuation of our work \cite{dns-part1} to investigate the long-time dynamics of a two species competition model of Lotka-Volterra type with nonlocal diffusions, where…
Long-time dynamics of a competition model with nonlocal diffusion and free boundaries: Vanishing and spreading of the invader
Yihong Du, Wenjie Ni, Linfei Shi
In this work, we investigate the long-time dynamics of a two species competition model of Lotka-Volterra type with nonlocal diffusions. One of the species, with density , i…
Rate of accelerated expansion of the epidemic region in a nonlocal epidemic model with free boundaries
Yihong Du, Wenjie Ni, Rong Wang
This paper is concerned with the long-time dynamics of an epidemic model whose diffusion and reaction terms involve nonlocal effects described by suitable convolution operators, an…
The high dimensional Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry
Yihong Du, Wenjie Ni
We study the radially symmetric high dimensional Fisher-KPP nonlocal diffusion equation with free boundary, and reveal some fundamental differences from its one dimensional version…
Semi-wave, traveling wave and spreading speed for monostable cooperative systems with nonlocal diffusion and free boundaries
Yihong Du, Wenjie Ni
We consider a class of cooperative reaction-diffusion systems with free boundaries in one space dimension, where the diffusion terms are nonlocal, given by integral operators invol…
Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
Wenjie Ni, Junping Shi, Mingxin Wang
The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newl…
Approximation of random diffusion equation by nonlocal diffusion equation in free boundary problems of one space dimension
Yihong Du, Wenjie Ni
We show how the Stefan type free boundary problem with random diffusion in one space dimension can be approximated by the corresponding free boundary problem with nonlocal diffusio…
Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
Wenjie Ni, Junping Shi, Mingxin Wang
A diffusive Lotka-Volterra competition model is considered for the combined effect of spatial dispersal and spatial variations of resource on the population persistence and exclusi…