Understanding the oscillations of an epidemic due to vaccine hesitancy-Reference-Cited by-同舟云学术

Understanding the oscillations of an epidemic due to vaccine hesitancy

Published:2024 Issue:8 Volume:21 Page:6829-6846
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Morciglio Anthony¹,Zia R. K. P.²³,Hyman James M.⁴,Jiang Yi¹

Affiliation:

1. Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA

2. Center for Soft Matter and Biological Physics, Department of Physics, Virginia Tech, Blacksburg, VA 24061, USA

3. Department of Physics, University of Houston, Houston, Texas 77204, USA

4. Department of Mathematics, Tulane University, New Orleans, LA 70118, USA

Abstract

<p>Vaccine hesitancy threatens to reverse the progress in tackling vaccine-preventable diseases. We used an $ SIS $ model with a game theory model for vaccination and parameters from the COVID-19 pandemic to study how vaccine hesitancy impacts epidemic dynamics. The system showed three asymptotic behaviors: total rejection of vaccinations, complete acceptance, and oscillations. With increasing fear of infection, stable endemic states become periodic oscillations. Our results suggest that managing fear of infection relative to vaccination is vital to successful mass vaccinations.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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