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Research Article | Open Access

Transient prophylaxis and multiple epidemic waves

Rebecca C. Tyson1( )Noah D. Marshall2Bert O. Baumgaertner3
CMPS Department (Mathematics), University of British Columbia Okanagan, Kelowna, BC, Canada
Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada
Department of Politics and Philosophy, University of Idaho, Moscow, Idaho, USA
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Abstract

Public opinion and opinion dynamics can have a strong effect on the transmission rate of an infectious disease for which there is no vaccine. The coupling of disease and opinion dynamics however, creates a dynamical system that is complex and poorly understood. We present a simple model in which susceptible groups adopt or give up prophylactic behaviour in accordance with the influence related to pro- and con-prophylactic communication. This influence varies with disease prevalence. We observe how the speed of the opinion dynamics affects the total size and peak size of the epidemic. We find that more reactive populations will experience a lower peak epidemic size, but possibly a larger final size and more epidemic waves, and that an increase in polarization results in a larger epidemic.

CLC number: 91D10, 92D30

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AIMS Mathematics
Pages 5616-5633

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Cite this article:
Tyson RC, Marshall ND, Baumgaertner BO. Transient prophylaxis and multiple epidemic waves. AIMS Mathematics, 2022, 7(4): 5616-5633. https://doi.org/10.3934/math.2022311

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Received: 06 January 2021
Revised: 21 May 2021
Accepted: 06 October 2021
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)