Hopf bifurcation of the age-structured SIRS model with the varying population sizes

Autor:	Hui Cao, Mengmeng Han, Yunxiao Bai, Suxia Zhang
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	sirs epidemic model the varying population sizes age-structured stability switch hopf bifurcation Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 30, Iss 10, Pp 3811-3824 (2022)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2022194?viewType=HTML
Popis:	The purpose of this paper is to investigate the impact of the varying population sizes on the dynamic behavior of the age-structured epidemic model. A age-structured SIRS epidemic model with the varying population sizes is established and investigated to take into account time delay. The non-negativity of the solution, the existence and stability of the steady states, and the existence of the Hopf bifurcation are discussed. The numerical simulations show that the varying population sizes can cause the age-structured SIRS model to produce multiple stability switches.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6ca0c78b479a47c4ad428e802fd9e30b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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