论文标题
在变化环境中，有一对弱的竞争猎物的三个物种捕食者捕食系统的强迫波
Forced waves of a three species predator-prey system with a pair of weak-strong competing preys in a shifting environment
论文作者
论文摘要
在本文中，我们研究了人口动态的三个组件反应扩散系统的所谓强制波解。我们的系统涉及三种分别是两个竞争的猎物和一个捕食者的物种。此外，两个猎物之间的竞争都很强烈，即在没有捕食者的情况下，一个猎物被灭绝，另一个猎物得以灭绝。此外，我们的问题包括移动变量中的时空异质性，通常是气候变化的模型。在这种情况下，强制波是特殊的固定解决方案，有望描述解决方案的较大时间行为，尤其是在气候转移速度上提供标准，以允许这三种物种中的任何一个。我们将考虑几种类型的强迫波来应对各种情况，具体取决于哪种物种是土著物种以及哪些物种是原住民。
In this paper, we investigate so-called forced wave solutions of a three components reaction-diffusion system from population dynamics. Our system involves three species that are respectively two competing preys and one predator; moreover, the competition between both preys is strong, i.e. in the absence of the predator, one prey is driven to extinction and the other survives. Furthermore, our problem includes a spatio-temporal heterogeneity in a moving variable that typically stands as a model for climate shift. In this context, forced waves are special stationary solutions which are expected to describe the large-time behavior of solutions, and in particular to provide criteria on the climate shift speed to allow survival of either of the three species. We will consider several types of forced waves to deal with various situations depending on which species are indigenous and which species are aboriginal.
