3 citations · 8 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
Improved Lerey inequality and Trudinger-Moser type inequality involving the Leray potential
Huyuan Chen, Yihong Du, Feng Zhou
We obtain three types of results in this paper. Firstly we improve Leray's inequality by providing several types of reminder terms, secondly we introduce several Hilbert spaces bas…
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…
Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 1: Continuous initial functions
Weiwei Ding, Yihong Du, Xing Liang
We aim to classify the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. Such a model may be used to describ…
Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 2: Spreading speed
Weiwei Ding, Yihong Du, Xing Liang
This is Part 2 of our work aimed at classifying the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. In Par…