Stability Analysis of the Equilibria of a Simple Compartmental Model for Covid-19 Transmission

Abstract

The SEIQR mathematical model is formulated to study the spread of COVID-19. The equilibrium points of the system of differential equations are obtained. The local stability of the disease-free and endemic equilibria is studied. The global stability of the disease-free and endemic equilibria is also studied. 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 the disease will eventually die out of the population for any value of the basic reproduction number.