15 citations · 15 across the 7 of their papers we have counts for
8 papers
Spreading speeds for Fisher-KPP equations with slowly decaying initial data in an almost periodic setting
Xing Liang, Linfeng Xu, Tao Zhou
This paper investigates the long-times behavior of the Fisher-KPP equation with slowly decaying initial data in an almost periodic medium. We mainly focus on two classes of initial…
Spreading speeds for nonlocal Fisher--KPP equations with time-dependent asymmetric kernels
Zhucheng Jin, Tao Zhou
This paper investigates spreading speeds for nonautonomous Fisher--KPP equations with nonlocal diffusion. The dispersal kernel depends on time and may be asymmetric in space. We as…
Generalized principal eigenvalues of elliptic operators and spreading speeds of Fisher-KPP equations in two-scale almost periodic media
Xing Liang, Linfeng Xu, Tao Zhou
This paper is concerned with the asymptotic behavior of the generalized principal eigenvalues of elliptic operators and spreading speeds of Fisher-KPP equations in two-scale almost…
Threshold solutions for the focusing generalized Hartree equations
Tao Zhou
We study the global behavior of solutions to the focusing generalized Hartree equation with data at mass-energy threshold in the inter-range case. In the earlier works of Aro…
Traveling fronts for Fisher-KPP lattice equations in almost periodic media
Xing Liang, Hongze Wang, Qi Zhou +1
This paper investigates the existence of almost periodic traveling fronts for Fisher-KPP lattice equations in one-dimensional almost periodic media. By the Lyapunov exponent of the…
Spreading speeds of KPP-type lattice systems in heterogeneous media
Xing Liang, Tao Zhou
In this paper, we investigate spreading properties of the solutions of the Kolmogorov-Petrovsky-Piskunov-type, (to be simple,KPP-type) lattice system \begin{equation}\label{firsteq…
Transition semi-wave solutions of reaction diffusion equations with free boundaries
Xing Liang, Tao Zhou
In this paper, we define the transition semi-wave solution of the following reaction diffusion equation with free boundaries \begin{equation}\label{0.1} \left\{ \begin{aligned} u_{…
Spreading speeds of nonlocal KPP equations in heterogeneous media
Xing Liang, Tao Zhou
In this paper, we prove the existence of the spreading speed of nonlocal KPP equations in two cases: 1. The media is almost periodic and the kernel of diffusion is continuous; 2. T…