A Free Boundary Problem for a Ratio-dependent Predator-prey System
Analysis of PDEs
2021-05-12 v2
Abstract
In this paper we study a free boundary problem for a ratio-dependent predator-prey system in one space dimension, with the free boundary only caused by the prey. The long time behaviors of solution are discussed. Then we establish a spreading-vanishing dichotomy and the criteria for spreading and vanishing. Finally, when spreading occurs, an accurate limit of the asymptotic speed of h(t) is provided.
Cite
@article{arxiv.2006.13770,
title = {A Free Boundary Problem for a Ratio-dependent Predator-prey System},
author = {Lingyu Liu},
journal= {arXiv preprint arXiv:2006.13770},
year = {2021}
}