School of Physics, Dalian University of Technology, Dalian, China.
School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian, China.
PLoS One. 2021 Oct 28;16(10):e0258859. doi: 10.1371/journal.pone.0258859. eCollection 2021.
This paper establishes a compartment model describing the propagation of injurious information among a well-mixed population. We define the information's injuriousness as the people practicing the information being injured and leaving the system. Some informed people practice the information and are active, while others do not practice and are inactive. With the recovery resources fixed, the two groups of informed people's recovering rates are normalized considering the information features. The stability of the nonlinear system is thoroughly studied. Analyzing the reproduction number of the injurious information, we find that in general parameter space, when there are people in an informed compartment, it is not always necessary to consider their recovery resource allocation. Instead, only when their proportion reaches a critical point should it be allocated. Unless the people in an informed compartment form a certain proportion, we can take a laissez-faire attitude towards them. In a more realistic parameter space, once inactive informed people exist, they should be allocated recovery resources. On the one hand, when the recovering rate rises, the focus on both groups of informed people is necessary for more situations. On the other hand, when the rate of active informed people leaving the system rises, ignoring active informed people benefits removing the injurious information in more cases. The model provides qualitative ways in the scenarios of removing injurious information.
本文建立了一个描述在充分混合的人群中伤害性信息传播的舱室模型。我们将信息的伤害性定义为实施信息的人受到伤害并离开系统。一些知情者实施信息并保持活跃，而另一些则不实施信息且处于不活跃状态。在固定恢复资源的情况下，考虑到信息特征，对两组知情者的恢复率进行归一化。我们深入研究了非线性系统的稳定性。通过分析伤害性信息的繁殖数，我们发现，在一般参数空间中，当有知情者存在于一个舱室时，并不总是需要考虑他们的恢复资源分配。相反，只有当他们的比例达到临界点时才需要进行分配。除非知情者在一个舱室中形成一定比例，否则我们可以对他们采取放任自流的态度。在更现实的参数空间中，一旦存在不活跃的知情者，就应该为他们分配恢复资源。一方面，当恢复率上升时，对于更多情况，需要关注两组知情者。另一方面，当活跃的知情者离开系统的速度上升时，在更多情况下忽略活跃的知情者有利于消除伤害性信息。该模型为消除伤害性信息的场景提供了定性方法。
