relation: http://www.eledia.org/students-reports/431/
title: Threshold behaviour of SIR epidemic model with age structure and immigration
creator: Franceschetti, Andrea
creator: Pugliese, Andrea
subject: TU Technical Reports and Publications
description: 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
type: Technical Report
type: NonPeerReviewed
format: application/pdf
language: en
identifier: http://www.eledia.org/students-reports/431/1/UTM710.pdf
identifier:   Franceschetti, Andrea and Pugliese, Andrea  (2007) Threshold behaviour of SIR epidemic model with age structure and immigration.  [Technical Report]    (Unpublished)