Department of Mathematics, University of Florida, Gainesville, FL 32607, USA.
Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Ave., Chattanooga, TN 37403, USA.
Math Biosci Eng. 2021 Apr 30;18(4):3790-3812. doi: 10.3934/mbe.2021191.
We propose a mathematical model based on a system of differential equations, which incorporates the impact of the chronic health conditions of the host population, to investigate the transmission dynamics of COVID-19. The model divides the total population into two groups, depending on whether they have underlying conditions, and describes the disease transmission both within and between the groups. As an application of this model, we perform a case study for Hamilton County, the fourth-most populous county in the US state of Tennessee and a region with high prevalence of chronic conditions. Our data fitting and simulation results quantify the high risk of COVID-19 for the population group with underlying health conditions. The findings suggest that weakening the disease transmission route between the exposed and susceptible individuals, including the reduction of the between-group contact, would be an effective approach to protect the most vulnerable people in this population group.
我们提出了一个基于微分方程系统的数学模型,该模型考虑了宿主人群的慢性健康状况的影响,以研究 COVID-19 的传播动态。该模型将总人口分为两组,一组是有潜在疾病的人群,另一组是没有潜在疾病的人群,并描述了两组之间以及组内的疾病传播。作为该模型的一个应用,我们对美国田纳西州第四大人口县汉密尔顿县进行了案例研究,该县是慢性疾病高发地区。我们的数据拟合和模拟结果量化了患有潜在健康状况的人群感染 COVID-19 的高风险。研究结果表明,削弱暴露个体和易感个体之间的疾病传播途径,包括减少组间接触,将是保护该人群中最脆弱人群的有效方法。