使用microsoft excel求解包含COVID-19传播出生和死亡的SIR数学模型

D. P. W. Putra, M. A. Rudhito
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引用次数: 0

摘要

本研究旨在找到SIR(易感、感染和恢复)模型的解决方案,该模型考虑了Covid-19在中国传播的自然出生和死亡。在正常、新正常和封锁条件下,使用Microsoft Excel计算一个地区的人口。本研究分为两个阶段,1)利用Microsoft Excel电子表格研究SIR模型的数值解,2)构建Microsoft Excel applet对系统进行仿真。结果表明,考虑出生和死亡的SIR模型可以在Microsoft Excel中通过将微分方程组转化为差分方程组进行数值求解。此外,通过使用Microsoft Excel中的现有功能,可以构建Microsoft Excel小程序来模拟正常、新正常和锁定条件下的系统。模拟结果表明,在正常情况下,有58%的个体被感染。在新常态和封锁条件下,新冠肺炎感染人数分别为28%和6%。该模型还可以预测大流行高峰。正常情况下,大流行高峰在第七周。在新常态和封锁条件下,大流行高峰分别出现在第11周和第6周。©2022作者。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solution of the SIR mathematical model with births and deaths for COVID-19 spread using microsoft excel
This study aims to find the solution of SIR (susceptible, infectious and recovered) modelling which considers natural births and deaths for the spread of Covid-19 in.populations of an area for normal, new normal and lockdown conditions using Microsoft Excel. This research consists two stages, 1) study the numerical solution SIR model using spreadsheet of Microsoft Excel, and 2) build Microsoft Excel Applets for simulation of the system. The results show that the SIR model with consider births and deaths for spread of Covid-19 can be solved numerically by Microsoft Excel, by changing the system of differential equations into system of difference equations. Furthermore, by using existing facilities in Microsoft Excel, the Microsoft Excel Applets can be built to simulate system in normal, new normal, and lockdown conditions. The simulation shows there are 58% individual are infected in normal condition. In new normal and lockdown conditions there are respectively 28% and 6% individuals who are infected by Covid-19. Pandemic peak also can be predicted by this model. In Normal condition, pandemic peak at Seventh week. In New normal and lockdown condition, the pandemic peak occurs at eleventh ant sixth week respectively. © 2022 Author(s).
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