This paper is devoted to some nonlinear propagation phenomena in periodic and more
general domains, for reaction-diffusion equations with Kolmogorov-Petrovsky-Piskunov …

This paper is devoted to the study of traveling waves for monotone evolution systems of
bistable type. In an abstract setting, we establish the existence of traveling waves for discrete …

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 …

In this paper, we generalize the usual notions of waves, fronts, and propagation speeds in a
very general setting. These new notions, which cover all usual situations, involve uniform …

We study the Fisher–KPP equation with a free boundary governed by a one-phase Stefan
condition. Such a problem arises in the modeling of the propagation of a new or invasive …

We establish propagation and spreading properties for nonnegative solutions of
nonhomogeneous reaction–diffusion equations of the type: with compactly supported initial …

This paper is devoted to the analysis of the large-time behavior of solutions of one-
dimensional Fisher–KPP reaction–diffusion equations. The initial conditions are assumed to …

This paper is concerned with the spreading speeds and traveling wave solutions of a
nonlocal dispersal equation with degenerate monostable nonlinearity. We first prove that the …

To understand the spreading and interaction of prey and predator, in this paper we study the
dynamics of the diffusive Lotka–Volterra type prey–predator model with different free …

We consider the Fisher–KPP (for Kolmogorov–Petrovsky–Piskunov) equation with a
nonlocal interaction term. We establish a condition on the interaction that allows for …