Geodesic
Well-posedness of an epidemiological problem described by an evolution PDE
A. Perasso1, 2 ; B. Laroche2
1 Laboratoire de Mathématiques, Bâtiment 425, Université Paris-Sud XI, F-91405 Orsay Cedex, France.
2 Laboratoire des signaux et systèmes (L2S) Supélec - 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex, France.
ESAIM. Proceedings, Tome 25 (2008), pp. 29-43.

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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.
DOI : 10.1051/proc:082503

A. Perasso 1, 2 ; B. Laroche 2

1 Laboratoire de Mathématiques, Bâtiment 425, Université Paris-Sud XI, F-91405 Orsay Cedex, France.
2 Laboratoire des signaux et systèmes (L2S) Supélec - 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex, France. 
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     author = {A. Perasso and B. Laroche},
     title = {Well-posedness of an epidemiological problem described by an evolution {PDE}},
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A. Perasso; B. Laroche. Well-posedness of an epidemiological problem described by an evolution PDE. ESAIM. Proceedings, Tome 25 (2008), pp. 29-43. doi : 10.1051/proc:082503. http://geodesic.mathdoc.fr/articles/10.1051/proc:082503/

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