12 papers · 1 filter
Symmetry-breaking bifurcation of periodic solutions for a free-boundary tumor model
Wenhua He, Mingxin Wang, Ruixiang Xing
In this paper, we consider a free boundary multi-layer tumor model that incorporates a periodic provision of external nutrients . The simplified model contains three par…
Global boundedness and finite time blow-up of solutions for a quasilinear chemotaxis-May-Nowak model
Jianping Wang, Mingxin Wang
In this paper, we introduce the nonlinear diffusion term into the chemotaxis-May-Nowak model to investigate the effects of and chemotaxis on the…
Longtime behaviors of a reducible cooperative system with nonlocal diffusions and free boundaries
Lei Li, Mingxin Wang
This paper aims at understanding the longtime behaviors of a reducible cooperative system with nonlocal diffusions and different free boundaries, describing the interactions of two…
Longtime behaviors of an epidemic model with nonlocal diffusions and a free boundary: rate of accelerated spreading
Lei Li, Mingxin Wang
This is the third part of our series of work devoted to the dynamics of an epidemic model with nonlocal diffusions and free boundary. This part is concerned with the rate of accele…
Spreading dynamics of a Fisher-KPP nonlocal diffusion model with a free boundary
Lei Li, Mingxin Wang
This paper concerns the spreading speed and asymptotical behaviors, which was left as an open problem in \cite{LLW22}, of a Fisher-KPP nonlocal diffusion model with a free boundary…
Dynamics for a diffusive epidemic model with a free boundary: sharp asymptotic profile
Xueping Li, Lei Li, Mingxin Wang
This paper concerns the sharp asymptotic profiles of the solution of a diffusive epidemic model with one free boundary and one fixed boundary which is subject to the homogeneous Di…