Social Response and Measles Dynamics

IF 0.9 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Stats Pub Date : 2023-11-29 DOI:10.3390/stats6040079
A. Adebanji, Franz Aschl, Ednah Chepkemoi Chumo, Emmanuel Odame Owiredu, Johannes Müller, Tukae Mbegalo
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Abstract

Measles remains one of the leading causes of death among young children globally, even though a safe and cost-effective vaccine is available. Vaccine hesitancy and social response to vaccination continue to undermine efforts to eradicate measles. In this study, we consider data about measles vaccination and measles prevalence in Germany for the years 2008–2012 in 345 districts. In the first part of the paper, we show that the probability of a local outbreak does not significantly depend on the vaccination coverage, but—if an outbreak does take place—the scale of the outbreak depends significantly on the vaccination coverage. Additionally, we show that the willingness to be vaccinated is significantly increased by local outbreaks, with a delay of about one year. In the second part of the paper, we consider a deterministic delay model to investigate the consequences of the statistical findings on the dynamics of the infection. Here, we find that the delay might induce oscillations if the vaccination coverage is rather low and the social response to an outbreak is sufficiently strong. The relevance of our findings is discussed at the end of the paper.
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社会反应和麻疹动态
麻疹仍然是全球幼儿死亡的主要原因之一,尽管已经有了安全且成本效益高的疫苗。疫苗接种的犹豫不决和社会对疫苗接种的反应继续破坏着根除麻疹的努力。在本研究中,我们考虑了 2008-2012 年德国 345 个地区的麻疹疫苗接种和麻疹流行率数据。在论文的第一部分,我们表明当地爆发麻疹疫情的概率与疫苗接种覆盖率的关系不大,但如果疫情爆发,疫情的规模与疫苗接种覆盖率的关系很大。此外,我们还表明,疫苗接种的意愿会因当地疫情的爆发而显著增加,但会延迟一年左右。在本文的第二部分,我们考虑了一个确定性延迟模型,以研究统计结果对感染动态的影响。在此,我们发现如果疫苗接种覆盖率相当低,且社会对疫情的反应足够强烈,延迟可能会引起振荡。本文最后将讨论我们的发现的相关性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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0.60
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0
审稿时长
7 weeks
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