In this short review, we describe some recent developments on the spatial propagation for
diffusion problems in shifting environments, including single species models, competition …

In this paper, we study the propagation dynamics of a time-periodic predator-prey system
with nonlocal dispersal. We first establish the existence and nonexistence of periodic …

This paper investigates the large time behaviour of a three species reaction–diffusion
system, modelling the spatial invasion of two predators feeding on a single prey species. In …

We are concerned with the persistence of both predator and prey in a diffusive predator-prey
system with a climate change effect, which is modeled by a spatial-temporal heterogeneity …

In this work a two component epidemic reaction–diffusion system posed on the whole space
RN is considered. Uniform boundedness of the solutions is proved using suitable local L p …

In this paper, we mainly study the propagation properties of solutions of the predator-prey
system with nonlocal dispersal. More specifically, we explored the spreading speeds of the …

Vector-borne diseases, such as chikungunya, dengue, malaria, West Nile virus, yellow fever
and Zika, pose a major global public health problem worldwide. In this paper we investigate …

This paper is concerned with some spreading properties of monostable Lotka–Volterra two‐
species competition‐diffusion systems when the initial values are null or exponentially …

Traveling wave solutions in general time-dependent (including time-periodic) reaction–
diffusion equations and systems of equations have attracted great attention in the last two …

This paper is concerned with the propagation dynamics of a predator–prey system with
nonlocal dispersal. We obtain a threshold phenomenon for the invasion of the predator into …