论文标题
关于在分级的自组织临界性流行病模型中实施限制性措施的有效性
On the effectiveness of imposing restrictive measures in a graded Self-Organized Criticality epidemic spread model The case of COVID-19
论文作者
论文摘要
这项工作的范围是作为指导工具,以应对对实际流行状况的主观估计(主要是由于无法在整个人群上获取客观的真实数据)。在病毒引起的流行病的情况下,对先前介绍的封闭自组织临界(SOC)的模型进行了调整。在此版本中,该物理模型可以根据病毒侵略性区分病毒扩散。该研究提出,突出了病毒密度在人群中的临界价值。对于初始病毒密度的低值(低于临界值),证明病毒扩散行为是安全且定量与通常的实际流行数据相似的。然而,据透露,非常接近临界点,即临界现象理论引入的临界点降低(CSD)现象出现,导致活跃载体百分比和流行持续时间的巨大增加。还发生了遵守二阶相变的流行病的行为。对于高于临界值的病毒密度值,流行持续时间非常延长。此外,封闭的系统人口大小的影响揭示了有趣的特性。所有这些结果,以及对采用物理接触限制措施的有效性的调查,科学地记录了它们的价值,同时还证明了群豁免权安全地保持的限制。最后,在希腊的情况下,该模型已与实际流行数据进行了比较,该模型始终及时施加了限制性措施。
The scope of this work is to serve as a guiding tool against subjective estimations on real pandemic situations (mainly due to the inability to acquire objective real data over whole populations). The previously introduced model of closed self-organized criticality (SOC), is adapted in the case of a virus-induced epidemic. In this version this physical model can distinguish the virus spread according to the virus aggressiveness. The study presented, highlights the critical value of virus density over a population. For low values of the initial virus density (lower than the critical value) it is proved that the virus-diffusion behavior is safe and quantitatively similar to usual real epidemical data. However, it is revealed that very close to the critical point, the critical slowing-down (CSD) phenomenon, introduced by the theory of critical phenomena, emerges, leading to a tremendous increase of both the percentage of active carriers and the duration of the epidemic. A behavior of the epidemic obeying to a second order phase transition, also occurs. For virus density values higher than the critical value, the epidemic duration becomes extremely prolonged. Additionally, the effect of the closed system population size revealed interesting properties. All these results, together with an investigation of the effectiveness of applying physical contact restriction measures, document scientifically their worthiness, while they also demonstrate the limits for which herd immunity holds safely. Finally, the model has been compared against real epidemic data in the case of Greece, which imposed restrictive measures consistently and in time.