An SEIR model with infected immigrants and recovered emigrants.
Basic reproduction number
Imported infection
Measles
Recovered emigrant
Stable equilibrium
Journal
Advances in difference equations
ISSN: 1687-1839
Titre abrégé: Adv Differ Equ
Pays: Germany
ID NLM: 101670234
Informations de publication
Date de publication:
2021
2021
Historique:
received:
16
02
2021
accepted:
22
06
2021
entrez:
26
7
2021
pubmed:
27
7
2021
medline:
27
7
2021
Statut:
ppublish
Résumé
We present a deterministic SEIR model of the said form. The population in point can be considered as consisting of a local population together with a migrant subpopulation. The migrants come into the local population for a short stay. In particular, the model allows for a constant inflow of individuals into different classes and constant outflow of individuals from the R-class. The system of ordinary differential equations has positive solutions and the infected classes remain above specified threshold levels. The equilibrium points are shown to be asymptotically stable. The utility of the model is demonstrated by way of an application to measles.
Identifiants
pubmed: 34306043
doi: 10.1186/s13662-021-03488-5
pii: 3488
pmc: PMC8283395
doi:
Types de publication
Journal Article
Langues
eng
Pagination
337Informations de copyright
© The Author(s) 2021.
Déclaration de conflit d'intérêts
Competing interestsThe author declares that he has no competing interests.
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