论文标题
具有两个捕食者和一个猎物的捕食者捕食系统的渐近扩散速度
Asymptotic spreading speeds for a predator-prey system with two predators and one prey
论文作者
论文摘要
本文研究了三个物种反应扩散系统的较大时间行为，对以单个猎物物种为食的两个捕食者进行了空间侵袭。除了食物的竞争之外，两个捕食者还表现出竞争性相互作用，在某些参数条件下（$μ> 0 $），它们也可以被视为两个突变体。当突变发生在捕食者种群中时，侵袭的空间扩散以明确的速度发生，而两个突变体相同。当两个捕食者未通过突变耦合时，扩散行为表现出更复杂的传播模式，包括具有不同速度的多层。此外，某些参数条件揭示了发生非本地拉力现象的情况，尤其是在没有线性确定的扩散速度的情况下。
This paper investigates the large time behaviour of a three species reaction-diffusion system, modelling the spatial invasion of two predators feeding on a single prey species. In addition to the competition for food, the two predators exhibit competitive interactions and under some parameter conditions ($μ>0$), they can also be considered as two mutants. When mutations occur in the predator populations, the spatial spread of invasion takes place at a definite speed, identical for both mutants. When the two predators are not coupled through mutation, the spreading behaviour exhibits a more complex propagating pattern, including multiple layers with different speeds. In addition, some parameter conditions reveal situations where a nonlocal pulling phenomenon occurs and in particular where the spreading speed is not linearly determined.
