[HTML][HTML] A review on the dynamics of two species competitive ODE and parabolic systems

W Qin, P Zhou - Journal of Applied Analysis & Computation, 2022 - jaac-online.com
This paper is devoted to a review on the dynamics of two species competition systems
including the classical ODE, reaction-diffusion as well as reaction-diffusion-advection …

Two species nonlocal diffusion systems with free boundaries

Y Du, M Wang, M Zhao - arXiv preprint arXiv:1907.04542, 2019 - arxiv.org
We study a class of free boundary systems with nonlocal diffusion, which are natural
extensions of the corresponding free boundary problems of reaction diffusion systems. As …

Long-time dynamics of a competition model with nonlocal diffusion and free boundaries: Vanishing and spreading of the invader

Y Du, W Ni, L Shi - arXiv preprint arXiv:2403.19131, 2024 - arxiv.org
In this work, we investigate the long-time dynamics of a two species competition model of
Lotka-Volterra type with nonlocal diffusions. One of the species, with density $ v (t, x) $, is …

Effects of nonlocal dispersal strategies and heterogeneous environment on total population

X Bai, F Li - arXiv preprint arXiv:2108.01826, 2021 - arxiv.org
In this paper, we consider the following single species model with nonlocal dispersal
strategy $$ d\mathcal {L}[\theta](x, t)+\theta (x, t)[m (x)-\theta (x, t)]= 0, $$ where $\mathcal {L} …