Stability Analysis of an Eight Parameter SIR-Type Model Including Loss of Immunity, and Disease and Vaccination Fatalities

Autor:	Florin Avram, Rim Adenane, Gianluca Bianchin, Andrei Halanay
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	epidemic models varying population models stability next-generation matrix approach basic reproduction number vaccination Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 3, p 402 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10030402
Popis:	We revisit here a landmark five-parameter SIR-type model, which is maybe the simplest example where a complete picture of all cases, including non-trivial bistability behavior, may be obtained using simple tools. We also generalize it by adding essential vaccination and vaccination-induced death parameters, with the aim of revealing the role of vaccination and its possible failure. The main result is Theorem 1, which describes the stability behavior of our model in all possible cases.
Databáze:	Directory of Open Access Journals
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