Robust Global Trends during Pandemics: Analysing the Interplay of Biological and Social Processes

Marija Mitrović Dankulov, Bosiljka Tadić, Roderick Melnik
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Abstract

The essence of the stochastic processes behind the empirical data on infection and fatality during pandemics is the complex interdependence between biological and social factors. Their balance can be checked on the data of new virus outbreaks, where the population is unprepared to fight the viral biology and social measures and healthcare systems adjust with a delay. Using a complex systems perspective, we combine network mapping with K-means clustering and multifractal detrended fluctuations analysis to identify typical trends in fatality rate data. We analyse global data of (normalised) fatality time series recorded during the first two years of the recent pandemic caused by the severe acute respiratory syndrome coronavirus 2 as an appropriate example. Our results reveal six clusters with robust patterns of mortality progression that represent specific adaptations to prevailing biological factors. They make up two significant groups that coincide with the topological communities of the correlation network, with stabilising (group g1) and continuously increasing rates (group g2). Strong cyclic trends and multifractal small-scale fluctuations around them characterise these patterns. The rigorous analysis and the proposed methodology shed more light on the complex nonlinear shapes of the pandemic’s main characteristic curves, which have been discussed extensively in the literature regarding the global infectious diseases that have affected humanity throughout its history. In addition to better pandemic preparedness in the future, the presented methodology can also help to differentiate and predict other trends in pandemics, such as fatality rates, caused simultaneously by different viruses in particular geographic locations.
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流行病期间强劲的全球趋势:分析生物和社会过程的相互作用
大流行期间感染和死亡经验数据背后的随机过程的本质是生物因素和社会因素之间复杂的相互依存关系。它们的平衡可以通过新病毒爆发的数据来检验,在这些地方,人们没有准备好应对病毒生物学和社会措施,卫生保健系统也在延迟调整。从复杂系统的角度,我们将网络映射与k均值聚类和多重分形趋势波动分析相结合,以确定死亡率数据的典型趋势。我们分析了最近由严重急性呼吸综合征冠状病毒2引起的大流行的头两年记录的全球(标准化)死亡时间序列数据,作为一个适当的例子。我们的研究结果揭示了六个具有强大的死亡率进展模式的集群,它们代表了对主流生物因素的特定适应。它们组成了两个重要的群体,与相关网络的拓扑群落一致,具有稳定(g1组)和持续增长的速率(g2组)。强烈的循环趋势和围绕它们的多重分形小尺度波动是这些模式的特征。严格的分析和提出的方法使人们更清楚地了解大流行主要特征曲线的复杂非线性形状,这在有关影响人类整个历史的全球传染病的文献中得到了广泛讨论。除了将来更好地防范大流行病外,所提出的方法还有助于区分和预测大流行病的其他趋势,例如在特定地理位置由不同病毒同时引起的死亡率。
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