A Lotka-Volterra competition model with nonlocal diffusion and free boundaries
Dynamical Systems
2019-05-24 v1
Abstract
This paper is concerned with a nonlocal diffusion Lotka-Volterra type competition model that consisting of a native species and an invasive species in a one-dimensional habitat with free boundaries. We prove the well-posedness of the system and get a spreading-vanishing dichotomy for the invasive species. We also provide some sufficient conditions to ensure spreading success or spreading failure for the case that the invasive species is an inferior competitor or a superior competitor, respectively.
Keywords
Cite
@article{arxiv.1905.09584,
title = {A Lotka-Volterra competition model with nonlocal diffusion and free boundaries},
author = {Jia-Feng Cao and Wan-Tong Li and Jie Wang},
journal= {arXiv preprint arXiv:1905.09584},
year = {2019}
}