217 citations · 358 across the 33 of their papers we have counts for
33 papers
Thresholds, fragmentation and symmetrization in parabolic equations
Matthieu Alfaro, Yihong Du, François Hamel +1
This paper is mainly concerned with the large-time dynamics of bounded nonnegative solutions of reaction-diffusion equations on the real line with nonlinearities mainly of the bist…
Dynamics of a nonlocal epidemic model with a new free boundary condition, part 1: Spreading-vanishing dichotomy
Yao Chen, Yihong Du, Wan-Tong Li +1
This paper investigates the long-time dynamics of a nonlocal epidemic model with free boundaries, where a pathogen with density and the infected humans with density $v(t,x…
Precise propagation profile for some monostable free boundary problems in time-periodic media
Yihong Du, Zhuo Ma, Zhi-Cheng Wang
We consider reaction-diffusion equations of the form \begin{equation*} u_t - d u_{xx} = f(t,u), \quad t>0,\ \ x \in [g(t), h(t)], \end{equation*} where is periodic in …
Lecture notes: Biological propagation via reaction-diffusion equations with nonlocal diffusion and free boundary
Yihong Du
These notes are based on the lectures given in a mini-course at VIASM (Vietnam Institute for Advanced Study in Mathematics) 2025 Summer School. They give a brief account of the the…
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…