Alternative SIAR models for infectious diseases and applications in the study of non-compliance
Alternative SIAR models for infectious diseases and applications in the study of non-compliance
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DOI：
10.1142/s0218202522500464
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发表时间：
2022-11-04
影响因子：
3.5
通讯作者：
Bertozzi，Andrea L.
中科院分区：
文献类型：
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作者：
Bongarti，Marcelo;Galvan，Luke Diego;Bertozzi，Andrea L.
在本文中，我们使用修改后的版本的SIAR模型的流行病提出了两种方法来理解和量化的影响，不遵守非药物干预措施对传染病的传播。SIAR模型区分有症状感染者（I）和无症状感染者（A）人群。一个更简单的修改是假设已知比例的人口不遵守政府的命令，如禁止和社交距离。在一个更复杂的方法中，修改后的模型将不合规行为视为社会传染病。我们从理论上探讨了不同的情况，如多波感染的发生。这两个模型的本地和渐近分析也提供。
In this paper, we use modified versions of the SIAR model for epidemics to propose two ways of understanding and quantifying the effect of non-compliance to non-pharmaceutical intervention measures on the spread of an infectious disease. The SIAR model distinguishes between symptomatic infected (I) and asymptomatic infected (A) populations. One modification, which is simpler, assumes a known proportion of the population does not comply with government mandates such as quarantining and social-distancing. In a more sophisticated approach, the modified model treats non-compliant behavior as a social contagion. We theoretically explore different scenarios such as the occurrence of multiple waves of infections. Local and asymptotic analyses for both models are also provided.