Mathematical analysis for an age-structured SIRS epidemic model.
SIRS epidemic
age structure
basic reproduction number
compact attractor
forward bifurcation
persistence
Journal
Mathematical biosciences and engineering : MBE
ISSN: 1551-0018
Titre abrégé: Math Biosci Eng
Pays: United States
ID NLM: 101197794
Informations de publication
Date de publication:
02 07 2019
02 07 2019
Historique:
entrez:
11
9
2019
pubmed:
11
9
2019
medline:
23
9
2020
Statut:
ppublish
Résumé
In this paper, we investigate an SIRS epidemic model with chronological age structure in a demographic steady state. Although the age-structured SIRS model is a simple extension of the well-known age-structured SIR epidemic model, we have to develop new technique to deal with problems due to the reversion of susceptibility for recovered individuals. First we give a standard proof for the well-posedness of the normalized age-structured SIRS model. Next we examine existence of endemic steady states by fixed point arguments and bifurcation method, where we introduce the next generation operator and the basic reproduction number R
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM