On some Free Boundary Problems of the Prey-predator Model

@article{Wang2013OnSF,
title={On some Free Boundary Problems of the Prey-predator Model},
author={M. Wang},
journal={arXiv: Analysis of PDEs},
year={2013}
}

In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) 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… CONTINUE READING