State Feedback as a Strategy for Control and Analysis of COVID-19

TL;DR

This paper analyzes a compartmental epidemic model for COVID-19, focusing on stability, vaccination strategies, and optimal control, supported by numerical simulations to inform disease mitigation efforts.

Contribution

It introduces a vaccination-augmented SIQR model with stability and controllability analysis, providing new insights into COVID-19 control strategies.

Findings

Vaccination stabilizes the disease-free equilibrium.

Optimal control strategies can effectively reduce infection spread.

Numerical simulations demonstrate the effectiveness of proposed control measures.

Abstract

This paper presents a study on a compartmental epidemic model for COVID-19, examining the stability of its equilibrium points upon the introduction of vaccination as a strategy to mitigate the spread of the disease. Initially, the SIQR (Susceptible-Infectious-Quarantine-Recovered) mathematical model and its technical aspects are introduced. Subsequently, vaccination is incorporated as a control measure within the model scope. Equilibrium points and the basic reproductive number are determined, followed by an analysis of their stability. Furthermore, controllability characteristics and Optimal Control strategies for the system are investigated, supplemented by numerical simulations.