为什么新冠肺炎疫情在中国停止,而在世界其他地区没有停止?(双组件模型的应用)

J. Dimaschko, V. Shlyakhover, M. Iabluchanskyi
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引用次数: 6

摘要

本文在双组分流行病模型中调查和解释了中国和世界其他地区COVID-19流行的巨大差异。该模型是基于对病毒感染的两种免疫反应——先天免疫和适应性免疫——对流行病的贡献的单独考虑。感染者无症状的概率为(1−𝑝),有症状的概率为𝑝。在第一种情况下,先天免疫足以保护一个人。在第二种情况下,先天免疫不足,适应性免疫开始发挥作用。在无症状状态下,人保持外表健康,活动,并可以传播感染。在有症状的状态下,这个人生病了,被隔离了,不能传播感染。我们假设无症状携带者对流行过程的贡献占主导地位,而通常有症状状态下的潜伏期的贡献占主导地位。模型的关键参数为无症状状态下的病毒生存期𝑇和传播速率时延时延。在温和𝛽𝑇值,该模型描述了一个长,慢慢减少发病率高原,转换波的解决方案在𝛽𝑇。对于稳定的非致病菌株,当其为𝑇→∞时,模型解仅限为单波。我们认为,这种非致病性菌株的传播及其随后的主导地位是在中国发生单波发病后结束疫情的原因。在世界其他地区制止这一流行病的一种方法可能是用稳定的非致病性毒株取代流行的致病性病毒。Doi: 10.28991/SciMedJ-2021-0302-2全文:PDF
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Why did the COVID-19 Epidemic Stop in China and does not Stop in the Rest of the World? (Application of the Two-Component Model)
The vastly different courses of the COVID-19 epidemic in China and the rest of the world are investigated and explained within two-component epidemic model. The model is based on separate accounting for the contribution to the epidemic from two types of immune response to a viral infection - innate and adaptive immunity. Any infected person becomes asymptomatic with probability (1−𝑝) or symptomatic with probability 𝑝. In the first case, innate immunity is sufficient to protect a person. In the second case, innate immunity is insufficient, and adaptive immunity comes into play. In the asymptomatic state, the person remains outwardly healthy, mobile and can spread the infection. In the symptomatic state, the person becomes ill, isolated and cannot spread the infection. We assume that the contribution to the epidemic process from asymptomatic carriers is dominant in comparison with the contribution from the usual incubation period in the symptomatic state. The key parameters of the model are the virus lifetime 𝑇 in the asymptomatic state and the spread rate 𝛽. At moderate 𝛽𝑇 values, the model describes a long, slowly decreasing morbidity plateau, which transforms into wave-like solution at 𝛽𝑇. In the case of 𝛽𝑇→∞, which corresponds to a stable non-pathogenic strain, the model solution is limited to single wave only. We believe that the spread of such a non-pathogenic strain and its subsequent dominance is responsible for ending the epidemic after the single wave of incidence in China. A way to stop the epidemic in the rest of the world may consist in displacing the circulating pathogenic virus with its stable non-pathogenic strain. Doi: 10.28991/SciMedJ-2021-0302-2 Full Text: PDF
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