8 citations · 8 across the 4 of their papers we have counts for
7 papers
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…
Time averaging for nonautonomous/random linear parabolic equations
Janusz Mierczyński, Wenxian Shen
Linear nonautonomous/random parabolic partial differential equations are considered under the Dirichlet, Neumann or Robin boundary conditions, where both the zero order coefficient…
Asymptotic behavior of semilinear parabolic equations on the circle with time almost-periodic/recurrent dependence
Wenxian Shen, Yi Wang, Dun Zhou
We study topological structure of the -limit sets of the skew-product semiflow generated by the following scalar reaction-diffusion equation \begin{equation*} u_{t}=u_{xx}+f(t,u…
Criteria for the Existence of Principal Eigenvalues of Time Periodic Cooperative Linear Systems with Nonlocal Dispersal
Xiongxiong Bao, Wenxian Shen
The current paper {establishes} criteria for the existence of principal eigenvalues of time periodic cooperative linear nonlocal dispersal systems with Direchlet type, Neumann type…
Spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions and applications
Wenxian Shen, Xiaoxia Xie
In this paper, we study the spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions subject to Dirichlet type, Neumann type and spatial peri…
Diffusive KPP Equations with Free Boundaries in Time Almost Periodic Environments: II. Spreading Speeds and Semi-Wave
Fang Li, Xing Liang, Wenxian Shen
In this series of papers, we investigate the spreading and vanishing dynamics of time almost periodic diffusive KPP equations with free boundaries. Such equations are used to chara…