An age-dependent immuno-epidemiological model with distributed recovery and death rates.
Age structure
COVID-19
Distributed recovery and death rates
Existence of solution
Immuno-epidemiological model
Journal
Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105
Informations de publication
Date de publication:
10 01 2023
10 01 2023
Historique:
received:
24
08
2022
accepted:
09
12
2022
revised:
06
12
2022
entrez:
10
1
2023
pubmed:
11
1
2023
medline:
13
1
2023
Statut:
epublish
Résumé
The work is devoted to a new immuno-epidemiological model with distributed recovery and death rates considered as functions of time after the infection onset. Disease transmission rate depends on the intra-subject viral load determined from the immunological submodel. The age-dependent model includes the viral load, recovery and death rates as functions of age considered as a continuous variable. Equations for susceptible, infected, recovered and dead compartments are expressed in terms of the number of newly infected cases. The analysis of the model includes the proof of the existence and uniqueness of solution. Furthermore, it is shown how the model can be reduced to age-dependent SIR or delay model under certain assumptions on recovery and death distributions. Basic reproduction number and final size of epidemic are determined for the reduced models. The model is validated with a COVID-19 case data. Modelling results show that proportion of young age groups can influence the epidemic progression since disease transmission rate for them is higher than for other age groups.
Identifiants
pubmed: 36625974
doi: 10.1007/s00285-022-01855-8
pii: 10.1007/s00285-022-01855-8
pmc: PMC9838470
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
21Informations de copyright
© 2022. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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