2021/09/28 by C. H. Leung, Leung, C. H., María E. Gibbs +3 · 1 citation
Mathematics · Medicine · Social Sciences · #COVID-19 epidemiological studies #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Physics and Society (physics.soc-ph) #SARS-CoV-2 and COVID-19 Research #Systems and Control (eess.SY) #Vaccine Coverage and Hesitancy #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2109.14000
openalex publication_date 2021/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The COVID-19 pandemic has devastated the world in an unprecedented way, causing enormous loss of life. Time and again, public health authorities have urged people to become vaccinated to protect themselves and mitigate the spread of the disease. However, vaccine hesitancy has stalled vaccination levels in the United States. This study explores the effect of vaccine hesitancy on the spread of disease by introducing an SIRS-Vκ model, with compartments of susceptible (S), infected (I), recovered (R), and vaccinated (V). We leverage the concept of carrying capacity to account for vaccine hesitancy by defining a vaccine confidence level κ, which is the maximum number of people that will become vaccinated during the course of a disease. The inverse of vaccine confidence is vaccine hesitance, (\frac1κ). We explore the equilibria of the SIRS-Vκ model and their stability, and illustrate the impact of vaccine hesitance on epidemic spread analytically and via simulations.