On the variations of the principal eigenvalue and the probability of survival with respect to a parameter in growth-fragmentation-death models - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

On the variations of the principal eigenvalue and the probability of survival with respect to a parameter in growth-fragmentation-death models

Résumé

We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter. To this aim, we use the probabilistic individual-based interpretation of the model. We study the variations of the survival probability of the stochastic model, using a generation by generation approach. Then, making use of the link between the survival probability and the principal eigenvalue established in a previous work, we deduce the variations of the eigenvalue with respect to the parameter of the model.
Fichier principal
Vignette du fichier
manuscript.pdf (375.94 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01254053 , version 1 (11-01-2016)
hal-01254053 , version 2 (03-02-2016)
hal-01254053 , version 3 (23-01-2017)

Identifiants

Citer

Fabien Campillo, Nicolas Champagnat, Coralie Fritsch. On the variations of the principal eigenvalue and the probability of survival with respect to a parameter in growth-fragmentation-death models. 2016. ⟨hal-01254053v2⟩
642 Consultations
356 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More