Titre :

Infinitely many saturated travelling waves for epidemic models with distributed-contacts

Auteur(s) :

Alfaro, Matthieu [Auteur]
Laboratoire de Mathématiques Raphaël Salem [LMRS]
Herda, Maxime [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Natale, Andrea [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]

Mot(s)-clé(s) en anglais :

epidemic model
degenerate Fisher-KPP equation not in divergence form
infinitely many travelling waves
unusual tails

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Sciences du Vivant [q-bio]/Santé publique et épidémiologie

Résumé en anglais : [en]

We consider an epidemic model with distributed-contacts. When the contact kernel concentrates, one formally reaches a very degenerate Fisher-KPP equation with a diffusion term that is not in divergence form. We make an ...
Lire la suite >We consider an epidemic model with distributed-contacts. When the contact kernel concentrates, one formally reaches a very degenerate Fisher-KPP equation with a diffusion term that is not in divergence form. We make an exhaustive study of its travelling waves. For every admissible speed, there exists not only a non-saturated (smooth) wave but also infinitely many saturated (sharp) ones. Furthermore their tails may differ from what is usually expected. These results are thus in sharp contrast with their counterparts on related models.Lire moins >

Langue :

Anglais

Projet ANR :

Modèles intégro-différentiels venant de la biologie évolutive
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL