This paper is devoted to classifying the dynamical behavior of solutions to a free boundary problem of a predator–prey model with a nonlocal reaction term. We investigate the spreading-vanishing dichotomy, that is, the asymptotic behavior of predator and prey species. Moreover, some criteria are also established for spreading and vanishing. At last, when spreading occurs, we obtain an upper and a lower bound of the asymptotic spreading speed.

中文翻译：

---

具有局部反应项的捕食者-食饵模型的自由边界问题。

本文致力于对具有非局部反应项的捕食者－食饵模型的自由边界问题的解的动力学行为进行分类。我们研究了消失的二分法，即掠食者和猎物物种的渐近行为。此外，还建立了一些传播和消失的标准。最后，当发生扩展时，我们获得了渐近扩展速度的上限和下限。