Abstract

SEIR models are typically conjured for populations in open environments; however, there seems to be a lack of these types of models that deal with infection rates amongst enclosed spaces. We have also seen certain age groups struggle to deal with COVID-19 more than others, and to this end, we have constructed an age-structured SEIR model that incorporates the Gammaitoni–Nucci model, which is used for infective material in an enclosed space with ventilation. We apply some sensitivity analysis to better understand which parameters have the biggest impact on overall infection rates, as well as create a realistic scenario in which we apply our model to see the comparison in sickness rates amongst four different age groups with different ventilation filtration systems (UVGI, HEPA) and differing quanta production rates.

Highlights

  • As we enter another phase of what, as of 22 February 2021, was already one of the top ten deadliest diseases in human history [1], it is imperative humanity has all the tools necessary to prevent its most vulnerable, the suffering that many have already had to endure

  • Model), it is of great importance to briefly examine the governing equation that lead to the success of their model

  • Since we are discussing COVID-19, we will make appropriate assumptions on some of the parameters used in the model that will be static throughout all of the trials

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Summary

Introduction

As we enter another phase of what, as of 22 February 2021, was already one of the top ten deadliest diseases in human history [1], it is imperative humanity has all the tools necessary to prevent its most vulnerable, the suffering that many have already had to endure. There are so many of these marginalized groups that there is no way to analyze them all in the scope of this study. This leads us to look for which group might be the most vulnerable, which brought us to Figure A2 [3]. We can see that deaths resulting from COVID-19 are heavily skewed towards the elderly and that those aged 65 and older account for 79.3% of the COVID-19 deaths in the USA [7], while only accounting for 16.5% of the population [8]. When compared to the death proportion overall (including COVID-19) of 73.9% for the 65+ group, there is reason to believe that the elderly are more adversely affected than other age groups

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