17. Seir Model With A Vaccination Parameter Using COVID-19 As A Case Study

by Edet Uduak Anietie1 and Etukudo Ini-Obong2.
1Department of Mathematics, University of Uyo, Uyo, Nigeria.
2Department of Economics, University of Uyo, Nigeria.

Abstract
The SEIR mathematical model with a vaccination parameter is formulated to study the spread of COVID-19. The equilibrium points of the system of differential equations are obtained. The local and global stabilities of the disease-free and endemic equilibria are presented. The basic reproduction number of the model is obtained. The parameters used in the model are estimated. The system of differential equations representing the model is solved numerically using the scilab software application. The result of the simulation shows that in the long term, the presence of a vaccination parameter causes the disease to converge to the disease-free equilibrium for any value of the basic reproduction number.

Keywords: Stability, SEIR Model, Vaccination parameter, COVID-19, Scilab