8 citations · 21 across the 13 of their papers we have counts for
10 papers · 1 filter
Non-wandering points for autonomous/periodic parabolic equations on the circle
Wenxian Shen, Yi Wang, Dun Zhou
We study the properties of non-wandering points of the following scalar reaction-diffusion equation on the circle , \begin{equation*} u_{t}=u_{xx}+f(t,u,u_{x}),\,\,t>0,\,x\in…
Almost automorphically forced flows on or in one-dimensional almost periodic semilinear heat equations
Wenxian Shen, Yi Wang, Dun Zhou
In this paper, we consider the asymptotic dynamics of the skew-product semiflow generated by the following time almost-periodically forced scalar reaction-diffusion equation \begin…
Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats
Patrick De Leenheer, Wenxian Shen, Aijun Zhang
This paper is devoted to the study of persistence and extinction of a species modeled by nonlocal dispersal evolution equations in moving habitats with moving speed . It is show…
Stability and uniqueness of generalized traveling waves of lattice Fisher-KPP equations in heterogeneous media
Feng Cao, Wenxian Shen
In this paper, we investigate the stability and uniqueness of generalized traveling wave solutions of lattice Fisher-KPP equations with general time and space dependence. We first…
Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary. II. Spreading-vanishing dichotomy in a domain with a free boundary
Lianzhang Bao, Wenxian Shen
The current series of research papers is to investigate the asymptotic dynamics in logistic type chemotaxis models in one space dimension with a free boundary or unbounded boundary…
Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary. I. Asymptotic dynamics in fixed unbounded domain
Lianzhang Bao, Wenxian Shen
The current series of research papers is to investigate the asymptotic dynamics in logistic type chemotaxis models in one space dimension with a free boundary or an unbounded bound…