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

This paper is mainly concerned with the forced waves and gap formations for a Lotka–
Volterra competition model with nonlocal dispersal and shifting habitats. We first show that …

This paper is concerned with the spatial dynamics of a nonlocal dispersal population model
in a shifting environment where the favorable region is shrinking. It is shown that the species …

Ecosystems are marvelous assemblages of individuals that grow, reproduce, interact with
one another, move about in space, and eventually die. Ecosystems also provide essential …

This paper deals with the uniqueness and global stability of forced extinction waves for the
nonlocal dispersal Fisher-KPP equation in a shifting environment where the favorable …

We consider a competitive system with nonlocal dispersals in a 1-dimensional environment
that is worsening with a constant speed, reflected by two shifting growth functions. By …

We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion
model with a shifting habitat. It is assumed that the growth rate of each species is …

This paper concerns the nonautonomous reaction-diffusion equation ut= ux x+ ug (t, x− ct,
u), t> 0, x∈ R, where c∈ R is the shifting speed, and the time periodic nonlinearity ug (t, ξ, u) …

A discrete hormetic Ricker model (HRM) of a population with instant pulse perturbation
between two consecutive generations can generate hormetic effects. For example, analysis …

Simplified conditions are given for the existence and positivity of wave speed for an integro-
difference equation with a strong Allee effect and an unbounded habitat. The results are …