Asymptotic behavior and numerical simulations for an infection load-structured epidemiological model; Application to the transmission of prion pathologies

Abstract : In this article is studied an infection load-structured SI model with exponential growth of the infection, that incorporates a potential external source of contamination. We perform the analysis of the time asymptotic behavior of the solution by exhibiting epidemiological thresholds, such as the basic reproduction number, that ensure extinction or persistence of the disease in the contagion process. Moreover, a numerical scheme adapted to the model is developped and analyzed. This scheme is then used to illustrate the model with simulations, applying this last to the transmission of prion pathologies.
Type de document :
Article dans une revue
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2014, 74 (5), pp.1571--1597. 〈10.1137/130946058〉
Liste complète des métadonnées

Littérature citée [44 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00907819
Contributeur : Ulrich Razafison <>
Soumis le : mardi 11 mars 2014 - 18:25:44
Dernière modification le : mercredi 5 septembre 2018 - 17:04:02
Document(s) archivé(s) le : mercredi 11 juin 2014 - 13:26:26

Fichier

ModelExtCont_v2.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Antoine Perasso, Ulrich Razafison. Asymptotic behavior and numerical simulations for an infection load-structured epidemiological model; Application to the transmission of prion pathologies. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2014, 74 (5), pp.1571--1597. 〈10.1137/130946058〉. 〈hal-00907819v2〉

Partager

Métriques

Consultations de la notice

226

Téléchargements de fichiers

215