A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments

Sten Madec 1, * Cédric Wolf 2
* Auteur correspondant
1 Équipe Analyse
IMB - Institut de Mathématiques de Bordeaux
Abstract : In this work, we analyse a deterministic epidemic mathematical model motivated by the propagation of a hantavirus (Puumala hantavirus) within a bank vole population (Clethrionomys glareolus). The host population is split into juvenile and adult individuals. A heterogeneous spatial chronological age and infection age structure is considered, and also indirect transmission via the environment. Maturation rates for juvenile individuals are adult density-dependent. For the reaction-diffusion systems with age structures derived, we give global existence, uniqueness and global boundedness results. A model with transmission to humans is also studied here.
Type de document :
Article dans une revue
Journal of Biological Dynamics, Taylor & Francis Open, 2012, 6 (2), pp.235-266. 〈10.1080/17513758.2011.553392〉
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00739073
Contributeur : Valerie Briand <>
Soumis le : vendredi 5 octobre 2012 - 16:06:59
Dernière modification le : jeudi 12 janvier 2017 - 15:25:00

Identifiants

Citation

Sten Madec, Cédric Wolf. A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments. Journal of Biological Dynamics, Taylor & Francis Open, 2012, 6 (2), pp.235-266. 〈10.1080/17513758.2011.553392〉. 〈hal-00739073〉

Partager

Métriques

Consultations de la notice

132