1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
Semi-wave and sharp estimates of propagation for monostable free boundary problems in time-periodic environment
Yihong Du, Zhuo Ma
We investigate the propagation profile of positive solutions to \begin{equation*} u_t-du_{xx}=f(t,u) \mbox{ for } t>0,\ x\in(g(t),h(t)), \end{equation*} where is monostabl…
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…