Example 4: l-i SEIR-Vaccination model - Effect of Vaccination on COVID-19 Spread in the United States

Published: 20 July 2022| Version 1 | DOI: 10.17632/f6s2dw9mrn.1
Xiaoping Liu


In examples 1 to 3, we have demonstrated how to use Excel to calculate variables Sn, En, In, Rn, yn in l-i SEIR (Susceptible-Exposed-Infectious-Recovered) model, to determine the time-dependent kn, and to find the number of actual total infections in the absence of vaccination and breakthrough infections. In the l-i SEIR model, l is the time length of latent period, i is the time length of infectious period, and yn is the number of daily-confirmed cases of infections. In this section (Example 4), we will extend l-i SEIR model to l-i SEIR-vaccination model for examining the effect of vaccination on COVID-19 transmission. Two files (one Word file and one Excel files) are attached. In the Word file, the author described how to build the l-i SEIR-vaccination model and how to calculate the number of daily confirmed cases of COVID-19 infections, yn, in Excel. The calculated yn and the reported yn have been compared to each other and displayed graphically in the Excel file


Steps to reproduce

Refer the two attached files for steps to reproduce the work


West Virginia University Health Sciences Center


Mathematical Modeling, Epidemic Dynamics, COVID-19