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  1. No Access

    Article

    Entire solutions of Lotka-Volterra competition systems with nonlocal dispersal

    This paper is mainly concerned with entire solutions of the following two-species Lotka-Volterra competition system with nonlocal (convolution) dispersals: (0.1)

    Yuxia Hao, Wantong Li, Jiabing Wang, Wenbing Xu in Acta Mathematica Scientia (2023)

  2. No Access

    Article

    Pulsating waves and entire solutions for a spatially periodic nonlocal dispersal system with a quiescent stage

    This paper deals with the pulsating waves and entire solutions for a spatially periodic nonlocal dispersal model with a quiescent stage. By the method of super- and subsolutions together with the comparison pr...

    Jiabing Wang, Wantong Li in Science China Mathematics (2019)

  3. No Access

    Article

    Entire solution in an ignition nonlocal dispersal equation: Asymmetric kernel

    This paper mainly focuses on the front-like entire solution of a classical nonlocal dispersal equation with ignition nonlinearity. Especially, the dispersal kernel function J may not be symmetric here. The asymme...

    Li Zhang, WanTong Li, ZhiCheng Wang in Science China Mathematics (2017)

  4. No Access

    Article

    Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems

    In the one-dimensional space, traveling wave solutions of parabolic differential equations have been widely studied and well characterized. Recently, the mathematical study on higher-dimensional traveling fron...

    ZhiCheng Wang, WanTong Li, ShiGui Ruan in Science China Mathematics (2016)

  5. No Access

    Article

    Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation

    This paper is concerned with the multidimensional asymptotic stability of V-shaped traveling fronts in the Allen-Cahn equation under spatial decaying initial values. We first show that V-shaped traveling front...

    WeiJie Sheng, WanTong Li, ZhiCheng Wang in Science China Mathematics (2013)

  6. No Access

    Article

    Entire solutions in reaction-advection-diffusion equations with bistable nonlinearities in heterogeneous media

    This paper is concerned with entire solutions (t ∈ ℝ) for bistable reaction-advection-diffusion equations in heterogeneous media. By using traveling curved fronts connecting a constant unstable stationary state a...

    NaiWei Liu, WanTong Li in Science China Mathematics (2010)

  7. No Access

    Article

    Asymptotic stability of monostable wavefronts in discrete-time integral recursions

    The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in ℝ2. We first establish the existence of traveling wavefronts as well as their precise asympto...

    Guo Lin, WanTong Li, ShiGui Ruan in Science China Mathematics (2010)