A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments
| hal.structure.identifier | Équipe Analyse | |
| dc.contributor.author | MADEC, Sten | |
| hal.structure.identifier | Ecosystèmes, biodiversité, évolution [Rennes] [ECOBIO] | |
| dc.contributor.author | WOLF, Cédric | |
| dc.date.accessioned | 2024-04-04T02:24:25Z | |
| dc.date.available | 2024-04-04T02:24:25Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 1751-3758 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189815 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Taylor & Francis Open | |
| dc.title.en | A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1080/17513758.2011.553392 | |
| dc.subject.hal | Sciences de l'environnement/Biodiversité et Ecologie | |
| bordeaux.journal | Journal of Biological Dynamics | |
| bordeaux.page | 235-266 | |
| bordeaux.volume | 6 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00739073 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00739073v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Biological%20Dynamics&rft.date=2012&rft.volume=6&rft.issue=2&rft.spage=235-266&rft.epage=235-266&rft.eissn=1751-3758&rft.issn=1751-3758&rft.au=MADEC,%20Sten&WOLF,%20C%C3%A9dric&rft.genre=article |
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