论文标题
在扩散的三个物种捕食者捕食系统中，猎物的持久性具有一对强烈竞争的猎物
Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys
论文作者
论文摘要
我们研究了涉及单个捕食者和一对强烈竞争的猎物的三物种系统的行进波解决方案。我们的结果表明，捕食可能如何影响这种动态。更确切地说，我们描述了几种情况，在这些情况下，环境最初是由捕食者和两个猎物中的任何一个居住的情况。当较弱的竞争猎物是一种原住民物种时，我们表明存在强大的猎物侵入环境并取代其弱对应物，或者更令人惊讶的是，这三个物种最终共存。此外，根据参数，我们还可以构建行进波，其中较弱的猎物实际上会侵入其强大的竞争者和捕食者最初居住的环境。最后，我们关于流动波的存在的结果是锋利的，从某种意义上说，我们在所有这些情况下都发现了最小的波速速度。
We investigate the traveling wave solutions of a three-species system involving a single predator and a pair of strong-weak competing preys. Our results show how the predation may affect this dynamics. More precisely, we describe several situations where the environment is initially inhabited by the predator and by either one of the two preys. When the weak competing prey is an aboriginal species, we show that there exist traveling waves where the strong prey invades the environment and either replaces its weak counterpart, or more surprisingly the three species eventually co-exist. Furthermore, depending on the parameters, we can also construct traveling waves where the weaker prey actually invades the environment initially inhabited by its strong competitor and the predator. Finally, our results on the existence of traveling waves are sharp, in the sense that we find the minimal wave speed in all those situations.
