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

2024/05/28 by Leonardo R. S. Rodrigues, Rodrigues, Leonardo R. S., F. Gabrielli +1
Mathematics · Medicine · #COVID-19 epidemiological studies #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Numerical Analysis (math.NA) #Physics and Society (physics.soc-ph)

paper · pdf · doi:10.48550/arxiv.2405.17735

openalex publication_date 2024/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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