ABSTRACT This paper deals with the propagation thresholds of competitive integrodifference systems, which may be non-monotone even if the interspecific competition vanishes. The purpose is to establish the propagation thresholds that two competitors invade a new habitat. We first obtain the minimal wave speed by presenting the existence and non-existence of non-trivial travelling wave solutions. Then we confirm the minimal wave speed is the spreading speed of one competitor if the initial condition admits non-empty compact support.

中文翻译：

---

竞争性积分差分系统的传播阈值

摘要 本文涉及竞争性积分差异系统的传播阈值，即使种间竞争消失，该系统也可能是非单调的。目的是建立两个竞争者入侵新栖息地的传播阈值。我们首先通过呈现非平凡行波解的存在和不存在来获得最小波速。然后，如果初始条件允许非空紧致支撑，我们确认最小波速是一个竞争者的传播速度。