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年龄结构的SIR模型与资源增长动态:一项关于COVID-19的研究。

Age-structured SIR model and resource growth dynamics: a COVID-19 study.

作者信息

Babajanyan S G, Cheong Kang Hao

机构信息

Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore, 487372 Singapore.

Alikhanyan National Science Laboratory (Yerevan Physics Institute), Alikhanian Brothers Street 2, Yerevan 375036, Armenia.

出版信息

Nonlinear Dyn. 2021;104(3):2853-2864. doi: 10.1007/s11071-021-06384-5. Epub 2021 Apr 5.

DOI:10.1007/s11071-021-06384-5
PMID:33840897
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8019692/
Abstract

In this paper, we discuss three different response strategies to a disease outbreak and their economic implications in an age-structured population. We have utilized the classical age structured SIR-model, thus assuming that recovered people will not be infected again. Available resource dynamics is governed by the well-known logistic growth model, in which the reproduction coefficient depends on the disease outbreak spreading dynamics. We further investigate the feedback interaction of the disease spread dynamics and resource growth dynamics with the premise that the quality of treatment depends on the current economic situation. The very inclusion of mortality rates and economic considerations in the same model may be incongruous under certain positions, but in this model, we take a "realpolitik" approach by exploring all of these factors together as it is done in reality.

摘要

在本文中,我们讨论了在一个年龄结构人群中针对疾病爆发的三种不同应对策略及其经济影响。我们使用了经典的年龄结构SIR模型,因此假设康复者不会再次被感染。可用资源动态由著名的逻辑增长模型控制,其中繁殖系数取决于疾病爆发的传播动态。我们进一步研究疾病传播动态与资源增长动态的反馈相互作用,前提是治疗质量取决于当前的经济状况。在同一模型中纳入死亡率和经济考量在某些情况下可能不协调,但在本模型中,我们采取“现实政治”方法,像在现实中那样将所有这些因素一起进行探讨。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c749/8019692/0e27511c189e/11071_2021_6384_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c749/8019692/cd4567306c01/11071_2021_6384_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c749/8019692/ee4a30b0160f/11071_2021_6384_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c749/8019692/0e27511c189e/11071_2021_6384_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c749/8019692/cd4567306c01/11071_2021_6384_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c749/8019692/ee4a30b0160f/11071_2021_6384_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c749/8019692/0e27511c189e/11071_2021_6384_Fig3_HTML.jpg

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