[HTML][HTML] Recent developments on spatial propagation for diffusion equations in shifting environments

JB Wang, WT Li, FD Dong, SX Qiao - Discrete and Continuous …, 2022 - aimsciences.org
In this short review, we describe some recent developments on the spatial propagation for
diffusion problems in shifting environments, including single species models, competition …

Forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats

JB Wang, C Wu - Nonlinear Analysis: Real World Applications, 2021 - Elsevier
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 …

Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal

W Choi, T Giletti, JS Guo - Journal of Differential Equations, 2021 - Elsevier
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 …

Forced waves of a three species predator-prey system in a shifting environment

W Choi, JS Guo - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
This paper is concerned with the existence and non-existence of forced waves for a three
species predator-prey system in a shifting environment. The speed of these forced waves is …

Propagation phenomena for a discrete diffusive predator–prey model in a shifting habitat

JB Wang, JL Zhu - Journal of Dynamics and Differential Equations, 2024 - Springer
This paper concerns a discrete diffusive predator–prey system involving two competing
predators and one prey in a shifting habitat induced by the climate change. By assuming that …

Propagation phenomena for a nonlocal dispersal Lotka–Volterra competition model in shifting habitats

FD Dong, WT Li, JB Wang - Journal of Dynamics and Differential Equations, 2024 - Springer
This paper is concerned with the propagation phenomena for a nonlocal dispersal Lotka–
Volterra competition model with shifting habitats. It is assumed that the growth rate of each …

Wave propagation for a cooperative model with nonlocal dispersal under worsening habitats

JB Wang, WT Li - Zeitschrift für angewandte Mathematik und Physik, 2020 - Springer
In this paper, we study a Lotka–Volterra cooperative system with nonlocal dispersal under
worsening habitats. By constructing appropriate vector super-/subsolutions combined with …

Forced waves for a three-species predator-prey system with nonlocal dispersal in a shifting environment

JS Guo, F Hamel, CC Wu - Journal of Differential Equations, 2023 - Elsevier
We consider a three-species predator-prey system involving two competing predators and
one prey. The species diffuse with nonlocal dispersal kernels with possibly non-compact …

Can a population survive in a shifting environment using non-local dispersion?

J Coville - Nonlinear Analysis, 2021 - Elsevier
In this article, we analyse the non-local model:∂ t U (t, x)= J⋆ U (t, x)− U (t, x)+ f (x− ct, U (t,
x)) for t> 0, and x∈ R, where J is a positive continuous dispersal kernel and f (x, s) is a …

Population dynamics under climate change: persistence criterion and effects of fluctuations

W Shen, Z Shen, S Xue, D Zhou - Journal of Mathematical Biology, 2022 - Springer
The present paper is devoted to the investigation of population dynamics under climate
change. The evolution of species is modelled by a reaction-diffusion equation in a spatio …