The theory of asymptotic speeds of spread and monotone traveling waves is established for
a class of monotone discrete and continuous‐time semiflows and is applied to a functional …

We obtain existence of traveling wave solutions for a class of spatially discrete systems,
namely, lattice differential equations. Uniqueness of the wave speed c, and uniqueness of …

The current paper is devoted to the study of spatial spreading dynamics of monostable
equations with nonlocal dispersal in spatially periodic habitats. In particular, the existence …

We study the existence and asymptotic stability of traveling waves tou t=[g (u+ 1)+ g (u− 1)−
2g (u)]+ f (u) on R×(0,∞), where u= u (x, t), u±1= u (x±1, t), g= dup (d> 0, p⩾ 1) and f= u− u2 …

We study traveling waves of a discrete system where f and g are Lipschitz continuous with g
increasing and f monostable, ie, f (0)= f (1)= 0 and f> 0 on (0, 1). We show that there is a …

We consider infinite systems of ODEs on the two-dimensional integer lattice, given by a
bistable scalar ODE at each point, with a nearest neighbor coupling between lattice points …

We consider a firing rate model of a neuronal network continuum that incorporates axo-
dendritic synaptic processing and the finite conduction velocities of action potentials. The …

The theory of asymptotic speeds of spread and monotone traveling waves for monotone
semiflows is applied to a multi-type SIS epidemic model to obtain the spreading speed c∗ …

In this paper, we study the existence of traveling wave solutions for a class of delayed non-
local reaction–diffusion equations without quasi-monotonicity. The approach is based on the …

In this paper, we study the existence, uniqueness and asymptotic stability of travelling
wavefronts of the following equation: where x∈ R, t> 0, D, d> 0, r⩾ 0, b∈ C1 (R) and b (0) …