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Updated: May 19, 2026

A Multiplex Serological Assay for the Detection of Antibody Responses to Arboviruses
Published on: November 4, 2025
A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments
1UMR CNRS 6625 Irmar, Bât. 22, Campus de Beaulieu, Université de Rennes 1, 35042, Rennes cedex, France. sten.madec@u-Bordeaux2.fr
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.
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