title: A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments.
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.
authors.affiliation: UMR CNRS 6625 Irmar, Bât. 22, Campus de Beaulieu, Université de Rennes 1, 35042, Rennes cedex, France. sten.madec@u-Bordeaux2.fr
authors.forename: S
authors.initials: S
authors.lastname: Madec
authors.forename: C
authors.initials: C
authors.lastname: Wolf
mesh_terms: D000375:Aging / Q000473:pathology; D000818:Animals; D003411:Arvicolinae / Q000821:virology*; D004777:Environment; D058872:Epidemics / Q000706:statistics & numerical data*; D006476:Orthohantavirus / Q000502:physiology*; D018778:Hantavirus Infections / Q000453:epidemiology / Q000662:veterinary* / Q000821:virology; D006801:Humans; D008954:Models, Biological; D012376:Rodent Diseases / Q000453:epidemiology* / Q000635:transmission* / Q000821:virology