An extended SEIARD model for COVID-19 vaccination in Mexico: analysis and forecast

Ángel G. C. Pérez, David A. Oluyori
2021 Mathematics in Applied Sciences and Engineering  
In this study, we propose and analyse an extended SEIARD model with vaccination. We compute the control reproduction number $\mathcal{R}_c$ of our model and study the stability of equilibria. We show that the set of disease-free equilibria is locally asymptotically stable when $\mathcal{R}_c<1$ and unstable when $\mathcal{R}_c>1$, and we provide a sufficient condition for its global stability. Furthermore, we perform numerical simulations using the reported data of COVID-19 infections and
more » ... ation in Mexico to study the impact of different vaccination, transmission and efficacy rates on the dynamics of the disease.
doi:10.5206/mase/14233 fatcat:txo6w3xeqvgmlbgwvffo4coyzi