Stability analysis of a mathematical model SI_{u}I_{a}QR for COVID-19 with the effect of contamination control (filiation) strategy

Abstract

In this study, using a system of delay nonlinear ordinary differential equations, we introduce a new compartmental epidemic model considered effect of filiation (contamination) control strategy to the spread of Covid-19. Firstly, the formulation of this new SI u I a QR epidemic model with delay process and the parameters arised from isolation and filiation is formed. Then the disease-free and endemic equilibrium points of the model is obtained. Also, the basic reproduction number R 0 is found by using the next generation matrix method and the results on stabilities of the disease-free and endemic equilibrium points are investigated. Finally some examples are presented to show the effect of filiation control strategy.