论文标题
在转移环境中非局部扩散的三种捕食者捕食系统的强制波
Forced waves for a three-species predator-prey system with nonlocal dispersal in a shifting environment
论文作者
论文摘要
我们考虑一个三种捕食者捕食系统，涉及两个竞争性掠食者和一个猎物。该物种与非局部分散核相比具有非紧缩支持的非局部分散核扩散，并且它们在异质环境中相互作用，以正相强迫的速度移动，使得环境在没有捕食者的情况下，对猎物有利，并且远远超过了转移的边界，并且它是不利的。这种系统出现在人口动态的建模下，在变化环境的效果下，例如气候变化。一方面，我们显示了将琐碎状态与强制速度的任何值连接到独特的恒定正共存状态的波的存在。另一方面，我们显示了将琐碎状态连接到与不存在一个或两个掠食者相对应的状态的波的存在的临界正速度的存在。
We consider a three-species predator-prey system involving two competing predators and one prey. The species diffuse with nonlocal dispersal kernels with possibly non-compact support, and they interact in a heterogeneous environment moving with a positive forced speed such that the environment is favorable to the prey in the absence of predators far ahead of the shifting boundary and it is unfavorable far behind. Such systems arise in the modeling of population dynamics under the effect of a shifting environment, such as climate change. We show on the one hand the existence of waves connecting the trivial state to the unique constant positive coexistence state for any value of the forced speed. On the other hand, we show the existence of critical positive speeds for the existence of waves connecting the trivial state to the states corresponding to the absence of one or two predators.
