论文标题

数学建模和调查人口统计学和接触模式在社会距离中的作用在社会距离中的措施在COVID-19传播中的有效性

Mathematical Modeling and Investigation on the Role of Demography and Contact Patterns in Social Distancing Measures Effectiveness in COVID-19 Dissemination

论文作者

Ridenti, M. A., Teles, L. K., Maranhão, A., Teles, V. K.

论文摘要

在本文中,我们研究了人口统计和接触模式在确定Covid-19的传播以及社会疏远政策的有效性方面的重要性。我们调查了这些问题,提出了一个具有年龄结构化模型的增强流行病学模型,其中人口分为易感性,暴露(E),感染和无症状和无症状(A),住院(H),感染和症状(I),并恢复了个体(R),以模拟COVID-199。模拟使用六种组合的六种组合组合(工作限制,老年人的隔离,社区疏远和封闭学校),以及在替代人口统计学转变阶段模式(陈旧,发展,发达,发展和最不发达国家)中产生的四个代表性的虚拟国家。我们得出的结论是,基本的繁殖数取决于年龄概况和接触模式。老年发达国家的基本繁殖数量最低($ r0 = 1.74 $),这是由于个人的接触率低,其次是最不发达国家($ r0 = 2.00 $),发展中国家($ r0 = 2.43 $)和发达国家($ r0 = 2.64 $)。由于基本繁殖数字上的这些差异,相同的干预政策在老年和最不发达国家的效率较高。在所有干预政策中,工作联系和社区疏远的减少是$ r0 $价值,患病率,最大住院需求和死亡率最高的距离。老年人的隔离在发达和老化的发达国家更有效。学校的关闭是不太有效的干预政策,尽管其影响在最不发达国家和发展中国家并不可忽略不计。

In this article, we investigate the importance of demographic and contact patterns in determining the spread of COVID-19 and to the effectiveness of social distancing policies. We investigate these questions proposing an augmented epidemiological model with an age-structured model, with the population divided into susceptible (S), exposed (E), infected and asymptomatic (A), hospitalized (H), infected and symptomatic (I), and recovered individuals (R), to simulate COVID-19 dissemination. The simulations were carried out using six combinations of four types of isolation policies (work restrictions, isolation of the elderly, community distancing and school closures) and four representative fictitious countries generated over alternative demographic transition stage patterns (aged developed, developed, developing and least developed countries). We concluded that the basic reproduction number depends on the age profile and the contact patterns. The aged developed country had the lowest basic reproduction number ($R0=1.74$) due to the low contact rate among individuals, followed by the least developed country ($R0=2.00$), the developing country ($R0=2.43$) and the developed country ($R0=2.64$). Because of these differences in the basic reproduction numbers, the same intervention policies had higher efficiencies in the aged and least developed countries. Of all intervention policies, the reduction in work contacts and community distancing were the ones which produced the highest decrease in the $R0$ value, prevalence, maximum hospitalization demand and fatality rate. The isolation of the elderly was more effective in the developed and aged developed countries. The school closure was the less effective intervention policy, though its effects were not negligible in the least developed and developing countries.

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