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Article Dans Une Revue ESAIM: Proceedings Année : 2008

Well-posedness of an epidemiological problem described by an evolution PDE

Résumé

This paper investigates the well-posedness for a non linear transport equation system that models the spread of prion diseases in a managed flock. Existence and uniqueness of solutions are proved with the use of semigroup theory in the case of a Lipschitz perturbation and presence of boundary conditions. Finally, the characteristics of the transport part of the equations allow us to give an implicit expression of the solution.
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hal-02655874 , version 1 (29-05-2020)

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Antoine Perasso, Béatrice Laroche. Well-posedness of an epidemiological problem described by an evolution PDE. ESAIM: Proceedings, 2008, 25, pp.29-43. ⟨10.1051/proc:082503⟩. ⟨hal-02655874⟩
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