School of Economics and Management, Yanshan University, Qinhuangdao, 066004, China.
Sci Rep. 2019 Aug 29;9(1):12535. doi: 10.1038/s41598-019-48975-8.
In most situations where entities interact by sharing limited resources, controlling populations' density is crucial to maintain ecosystem sustainability. This is the case in a predator-prey type interaction when predator survival relies on its ability to harvest and consume resources. In this article, we analyzed a modified predator-prey model based on Rosenzweig-MacArthur characterized by a delayed conversion of prey into resources and applied the proposed model to network users' data forwarding at a bottleneck node. We discuss system fixed points behaviour and prove that delaying the handling time has a significant impact on the dynamic of interaction and system bifurcates, exhibits chaotic behaviour and is highly responsive to small perturbations.
在大多数实体通过共享有限资源进行交互的情况下，控制种群密度对于维持生态系统的可持续性至关重要。在捕食者-猎物类型的相互作用中就是这种情况，捕食者的生存依赖于其收获和消耗资源的能力。在本文中，我们分析了一个基于 Rosenzweig-MacArthur 的改进的捕食者-猎物模型，该模型的特点是猎物转化为资源的时间延迟，并将提出的模型应用于瓶颈节点处的网络用户数据转发。我们讨论了系统平衡点的行为，并证明了处理时间的延迟对相互作用的动态和系统分叉有重大影响，表现出混沌行为，并且对小的扰动非常敏感。
