On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models
Analysis of PDEs
2017-01-24 v3 Probability
Abstract
We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter acting on growth and fragmentation. 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.
Keywords
Cite
@article{arxiv.1601.02516,
title = {On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models},
author = {Fabien Campillo and Nicolas Champagnat and Coralie Fritsch},
journal= {arXiv preprint arXiv:1601.02516},
year = {2017}
}