A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments
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en
Article de revue
Ce document a été publié dans
Journal of Biological Dynamics. 2012, vol. 6, n° 2, p. 235-266
Taylor & Francis Open
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
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