Year: 2024
Author: Pengfei Song, Jianhong Wu, Yanni Xiao
CSIAM Transactions on Life Sciences, Vol. 1 (2024), Iss. 1 : pp. 1–21
Abstract
Human heterogeneity is a critical issue in infectious disease transmission dynamics modelling, and it has recently received much attention in COVID-19 studies. In this article, a general human heterogeneous disease model with mutation is proposed to comprehensively study the effects of human heterogeneity on basic reproduction number, final epidemic size and herd immunity. We show that human heterogeneity may increase or decrease herd immunity level, strongly depending on some convexity of the heterogeneity function, which gives new insights and extends the results in [Britton et al., Science, 369:846–849, 2020]. Moreover, human heterogeneity may decrease the basic reproduction number but increase the level of herd immunity, implying the unreliability of the basic reproduction number in characterizing the spread and control of infectious diseases with human heterogeneity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-ls.SO-2024-0001
CSIAM Transactions on Life Sciences, Vol. 1 (2024), Iss. 1 : pp. 1–21
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: SEIR model human heterogeneity basic reproduction number herd immunity level final epidemic size.