In this paper, we shall survey some recent results on the wave propagation in 2-species
competition systems with Lotka-Volterra type nonlinearity. This includes systems with …

The current paper is devoted to the study of spreading speeds and linear determinacy of
diffusive cooperative/competitive systems of the form ut (t, x)=(A u)(t, x)+ F (t, u (t, x)), x∈ H …

In this paper, we study an epidemic system in a periodic patchy environment with bilinear
incidence. It is assumed that all the parameters share the same period N∈ N. When the …

This paper is concerned with the new types of entire solutions other than traveling wave
solutions of nonlocal dispersal equations with monostable nonlinearity in space periodic …

The current paper is devoted to the study of semilinear dispersal evolution equations of the
form u_t (t, x)=(A u)(t, x)+ u (t, x) f (t, x, u (t, x)),\quad x ∈ H, ut (t, x)=(A u)(t, x)+ u (t, x) f (t, x, u …

The current paper is concerned with positive stationary solutions and spatial spreading
speeds of KPP type evolution equations with random or nonlocal or discrete dispersal in …

The purpose of this article is to investigate various qualitative properties of pulsating
traveling waves for a delayed lattice dynamical system with global interaction in periodic …

We consider a discrete version of reaction-diffusion equations. A typical example is the fully
overdamped Frenkel–Kontorova model, where the velocity is proportional to the force. We …

We consider general fully nonlinear discrete reaction-diffusion equations ut= F [u], described
by some function F. In the positively monostable case, we study monotone traveling waves …

This paper is concerned with entire solutions for a two-dimensional periodic lattice
dynamical system with nonlocal dispersal. In the bistable case, by applying comparison …