An Age of Infection Kernel, an <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">R</mi></mrow></semantics></math></inline-formula> Formula, and Further Results for Arino–Brauer <i>A</i>, <i>B</i> Matrix Epidemic Models with Varying Populations, Waning Immunity, and Disease and Vaccination Fatalities

An Age of Infection Kernel, an <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">R</mi></mrow></semantics></math></inline-formula> Formula, and Further Results for Arino–Brauer <i>A</i>, <i>B</i> Matrix Epidemic Models with Varying Populations, Waning Immunity, and Disease and Vaccination Fatalities

In this work, we first introduce a class of deterministic epidemic models with varying populations inspired by Arino et al. (2007), the parameterization of two matrices, demography, the waning of immunity, and vaccination parameters. Similar models have been focused on by Julien Arino, Fred Brauer,...

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Bibliographic Details
Main Authors: Florin Avram, Rim Adenane, Lasko Basnarkov, Gianluca Bianchin, Dan Goreac, Andrei Halanay
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
epidemic models
varying population models
stability
next-generation matrix approach
basic replacement number
vaccination
Online Access:https://www.mdpi.com/2227-7390/11/6/1307

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