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primary topic: Threshold behaviour of SIR epidemic model with age structure and immigration

Threshold behaviour of SIR epidemic model with age structure and immigration
type: Article
abstract: We consider a SIR age-structured model with immigration of infectives in all epidemiological compartments; the population is supposed in demographic equilibrium between below-replacement fertility and immigration; the spread of the infection occurs through a general age-dependent kernel. We analyse the equations for steady states; because of immigration of infectives a steady state with a positive density of infectives always exists; however, a quasi-threshold theorem is proved, in the sense that, below the threshold, the density of infectives is close to 0, while it is away from 0, above the threshold; furthermore, conditions that guarantee uniqueness of steady states are obtained. Finally, we present some numerical examples, inspired to the Italian demographic situation, that illustrate the threshold-like behaviour, and other features of the stationary solutions and of the transient.
date: 2007-02
status: nonPeerReviewed
status: unpublished
author list: authors
type: EPrint
type: TechreportEPrint
is part of: repository
has document: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
has document: Threshold behaviour of SIR epidemic model with age structure and immigration (Image (JPEG))
has document: Threshold behaviour of SIR epidemic model with age structure and immigration (Indexer Terms)
has document: Threshold behaviour of SIR epidemic model with age structure and immigration (Other)
subject: TU Technical Reports and Publications

Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
type: Document
has volatile version: http://www.eledia.org/students-reports/id/document/3655
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has version: http://www.eledia.org/students-reports/id/document/3656
has index codes version: http://www.eledia.org/students-reports/id/document/3656
has file: UTM710.pdf
has part: UTM710.pdf

Andrea Franceschetti
type: Person
given name: Andrea
family name: Franceschetti

Andrea Pugliese
type: Person
given name: Andrea
family name: Pugliese

Threshold behaviour of SIR epidemic model with age structure and immigration (Image (JPEG))
type: Document
is version of: http://www.eledia.org/students-reports/id/document/920
is volatile version of: http://www.eledia.org/students-reports/id/document/920
ispreview thumbnail version of: http://www.eledia.org/students-reports/id/document/920
has file: preview.jpg
has part: preview.jpg

Threshold behaviour of SIR epidemic model with age structure and immigration (Indexer Terms)
type: Document
is version of: http://www.eledia.org/students-reports/id/document/920
is volatile version of: http://www.eledia.org/students-reports/id/document/920
is index codes version of: http://www.eledia.org/students-reports/id/document/920
has file: indexcodes.txt
has part: indexcodes.txt

Threshold behaviour of SIR epidemic model with age structure and immigration (Other)
type: Document
is version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
is volatile version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
is index codes version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
has file: indexcodes.txt
has part: indexcodes.txt

Threshold behaviour of SIR epidemic model with age structure and immigration (Other)
type: Document
is version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
is volatile version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
islightbox thumbnail version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
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Threshold behaviour of SIR epidemic model with age structure and immigration (Other)
type: Document
is version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
is volatile version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
ispreview thumbnail version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
has file: preview.jpg
has part: preview.jpg

Threshold behaviour of SIR epidemic model with age structure and immigration (Other)
type: Document
is version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
is volatile version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
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Threshold behaviour of SIR epidemic model with age structure and immigration (Other)
type: Document
is version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
is volatile version of: Threshold behaviour of SIR epidemic model with age structure and immigration (PDF)
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primary topic: Threshold behaviour of SIR epidemic model with age structure and immigration

TU Technical Reports and Publications
type: Concept