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arXiv · 2006.13770

A Free Boundary Problem for a Ratio-dependent Predator-prey System

Lingyu Liu
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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.

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Lingyu Liu. 2020-06-24. A Free Boundary Problem for a Ratio-dependent Predator-prey System. https://arxiv.org/abs/2006.13770

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