Abstract:
The insect predator-prey system mediates several feedback mechanisms which regulate species abundance and spatial distribution. However, the spatiotemporal dynamics of such discrete systems with the refuge effect remain elusive. In this study, we analyzed a discrete Holling type II model incorporating the refuge effect using theoretical calculations and numerical simulations, and selected moths with high and low growth rates as two exemplifications. The result indicates that only the flip bifurcation opens the routes to chaos, and the system undergoes four spatiotemporally behavioral patterns (from the frozen random pattern to the defect chaotic diffusion pattern, then the competition intermittency pattern, and finally to the fully developed turbulence pattern). Furthermore, as the refuge effect increases, moths with relatively slower growth rates tend to maintain stability at relatively low densities, whereas moths with relatively faster growth rates can induce chaos and unpredictability on the population. According to the theoretical guidance of this study, the refuge effect can be adjusted to control pest populations effectively, which provides a new theoretical perspective and is a feasible tool for protecting crops.
摘要:
昆虫捕食者-食饵系统介导了几种调节物种丰度和空间分布的反馈机制。然而,这种具有避难效应的离散系统的时空动力学仍然难以捉摸。在这项研究中,我们使用理论计算和数值模拟分析了包含避难所效应的离散HollingII型模型,选择高增长率和低增长率的飞蛾作为两个例子。结果表明,只有翻转分叉打开了通往混乱的路线,并且系统经历了四个时空行为模式(从冻结随机模式到缺陷混沌扩散模式,然后是竞争间歇性模式,最后是完全发展的湍流模式)。此外,随着避难效应的增加,生长速度相对较慢的飞蛾倾向于在相对较低的密度下保持稳定,而生长速度相对较快的飞蛾会导致种群的混乱和不可预测性。根据本研究的理论指导,可以调节避难效应,有效控制害虫种群,为保护作物提供了新的理论视角,是一种可行的工具。