Stability Analysis of Delayed COVID-19 Models
Mohamed A. Zaitri, Cristiana J. Silva, Delfim F. M. Torres
TL;DR
This paper investigates the stability of COVID-19 models incorporating time delays and vaccination, providing conditions for stability and illustrating results with numerical simulations.
Contribution
It offers new stability criteria for delayed COVID-19 models with vaccination, applicable for any positive delay, supported by numerical validation.
Findings
Stability conditions for disease-free equilibrium
Stability conditions for endemic equilibrium
Numerical simulations confirming theoretical results
Abstract
We analyze mathematical models for COVID-19 with discrete time delays and vaccination. Sufficient conditions for the local stability of the endemic and disease-free equilibrium points are proved for any positive time delay. The stability results are illustrated through numerical simulations performed in MATLAB.
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