Free boundary problems for a Lotka-Volterra competition system
Analysis of PDEs
2015-06-18 v3
Abstract
In this paper we investigate two free boundary problems for a Lotka-Volterra type competition model in one space dimension. The main objective is to understand the asymptotic behavior of the two competing species spreading via a free boundary. We prove a spreading-vanishing dichotomy, namely the two species either successfully spread to the entire space as time t goes to infinity and survive in the new environment, or they fail to establish and die out in the long run. The long time behavior of the solutions and criteria for spreading and vanishing are also obtained. This paper is an improvement and extension of J. Guo and C. Wu.
Cite
@article{arxiv.1401.0806,
title = {Free boundary problems for a Lotka-Volterra competition system},
author = {Mingxin Wang and Jingfu Zhao},
journal= {arXiv preprint arXiv:1401.0806},
year = {2015}
}
Comments
19 pages. arXiv admin note: substantial text overlap with arXiv:1301.2063