68 citations · 88 across the 6 of their papers we have counts for
4 papers · 1 filter
Analysis of a time-dependent problem of mixed migration and population dynamics
Francois Castella, Philippe Chartier, Julie Sauzeau
In this work, we consider a system of differential equations modeling the dynamics of some populations of preys and predators, moving in space according to rapidly oscillating time…
Global behavior of N competing species with strong diffusion: diffusion leads to exclusion
François Castella, Sten Madec, Yvan Lagadeuc
It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Vario…
High frequency behaviour of the Maxwell-Bloch model with relaxations: convergence to the Schrödinger-Boltzmann system
François Castella, Eric Dumas
We study the Maxwell-Bloch model, which describes the propagation of a laser through a material and the associated interaction between laser and matter (polarization of the atoms t…
From Bloch model to the rate equations II: the case of almost degenerate energy levels
Brigitte Bidegaray-Fesquet, Francois Castella, Eric Dumas +1
Bloch equations give a quantum description of the coupling between an atom and a driving electric force. In this article, we address the asymptotics of these equations for high fre…