In this paper, we study the invading phenomenon of an alien predator to the habitat of two aborigine preys by traveling waves connecting the predator-free state to the co-existence state. We characterize the minimal wave speed of this invading process based on an application of Schauder’s fixed point theorem with the help of (generalized) upper-lower-solutions. New form of upper-lower-solutions are constructed to derive the existence of traveling waves for all admissible speeds.

中文翻译：

---

具有两个土著猎物的三物种捕食者-猎物模型的行波解

在本文中，我们通过行波将无捕食者状态与共存状态联系起来，研究了外星捕食者对两个土著猎物栖息地的入侵现象。我们在（广义的）上下解的帮助下，基于 Schauder 不动点定理的应用来表征这种侵入过程的最小波速。构建了新形式的上下解，以推导出所有允许速度下行波的存在。