| 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 causing by the prey, representing the expanding front and describing by Stefan-like condition. We prove a spreading-vanishing dichotomy for this model, i.e., the prey species either successfully spreads to infinity as $t\rightarrow\infty$ and stabilizes at a positive equilibrium state or it spreads within a bounded area and dies out in the long run. Then the sharp criteria for spreading and vanishing are established. |
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