Gaël Raoul

Publications

Article dans une revue (18)

Dynamics of a kinetic model describing protein exchanges in a cell population Pierre Magal,Gaël Raoul Journal of Mathematical Biology, 2025, 91 (6), pp.76. ⟨10.1007/s00285-025-02295-w⟩ Article dans une revue hal-04927941v1
Macroscopic limit from a structured population model to the Kirkpatrick-Barton model Gaël Raoul Bulletin des Sciences Mathématiques, 2025, 205, pp.103697. ⟨10.48550/arXiv.1706.04094⟩ Article dans une revue hal-04929904v1
Evolution and spread of multiadapted pathogens in a spatially heterogeneous environment Quentin Griette,Matthieu Alfaro,Gaël Raoul,Sylvain Gandon Evolution Letters, 2024, 8 (3), pp.427-436. ⟨10.1093/evlett/qrad073⟩ Article dans une revue hal-04693075v2
Evolution between two competing macrophyte populations along a resource gradient leads to collapse in a bistable lake ecosystem Sirine Boucenna,Gael Raoul,Vasilis Dakos Theoretical Population Biology, 2024, 164, pp.23-36. ⟨10.32942/X2532Z⟩ Article dans une revue hal-04794239v1
Interactions between different predator–prey states: a method for the derivation of the functional and numerical response Cecilia Berardo,Stefan Geritz,Mats Gyllenberg,Gaël Raoul Journal of Mathematical Biology, 2020, 80 (7), pp.2431-2468. ⟨10.1007/s00285-020-01500-2⟩ Article dans une revue hal-03116766v1
The effect of climate shift on a species submitted to dispersion, evolution, growth and nonlocal competition Matthieu Alfaro,Henri Berestycki,Gaël Raoul SIAM Journal on Mathematical Analysis, 2017, 49 (1), pp.562-596. ⟨10.1137/16M1075934⟩ Article dans une revue hal-01229568v1
Existence and qualitative properties of travelling waves for an epidemiological model with mutations Quentin Griette,Gaël Raoul Journal of Differential Equations, 2016, 260 (10), pp.7115-7151. ⟨10.1016/j.jde.2016.01.022⟩ Article dans une revue hal-01467351v1
Pollen dispersal slows geographical range shift and accelerates ecological niche shift under climate change R. Aguilée,Gaël Raoul,François Rousset,Ophélie Ronce Proceedings of the National Academy of Sciences of the United States of America, 2016, 113 (39), pp.E5741 - E5748. ⟨10.1073/pnas.1607612113⟩ Article dans une revue hal-01803740v1
Virulence evolution at the front line of spreading epidemics Quentin Griette,Gaël Raoul,Sylvain Gandon Evolution - International Journal of Organic Evolution, 2015, 69 (11), pp.2810-2819. ⟨10.1111/evo.12781⟩ Article dans une revue istex hal-05381405v1
Confinement by biased velocity jumps: aggregation of Escherichia coli Vincent Calvez,Gaël Raoul,Christian Schmeiser Kinetic and Related Models , 2015, ⟨10.3934/krm.2015.8.651⟩ Article dans une revue hal-00971302v1
Bistable travelling waves for nonlocal reaction diffusion equations Matthieu Alfaro,Jérôme Coville,Gael Raoul Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (5), pp.1775-1791. ⟨10.3934/dcds.2014.34.1775⟩ Article dans une revue hal-00800918v1
Local stability of perfect alignment for a spatially homogeneous kinetic model Pierre Degond,Amic Frouvelle,Gaël Raoul Journal of Statistical Physics, 2014, 157 (1), pp.84-112. ⟨10.1007/s10955-014-1062-3⟩ Article dans une revue hal-00962234v2
Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait Matthieu Alfaro,Jérôme Coville,Gaël Raoul Communications in Partial Differential Equations, 2013, 38 (12), pp.2126-2154. ⟨10.1080/03605302.2013.828069⟩ Article dans une revue hal-00751647v2
Dynamics of sexual populations structured by a space variable and a phenotypical trait Sepideh Mirrahimi,Gael Raoul Theoretical Population Biology, 2013, 84, pp.87 - 103. ⟨10.1016/j.tpb.2012.12.003⟩ Article dans une revue hal-01849254v1
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration Emeric Bouin,Vincent Calvez,Nicolas Meunier,Sepideh Mirrahimi,Benoît Perthameet al. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012, 350 (15-16), pp.761-766. ⟨10.1016/j.crma.2012.09.010⟩ Article dans une revue hal-00716349v1
Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems Nicolas Champagnat,Pierre-Emmanuel Jabin,Gael Raoul Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348 (23-24), pp.1267-1272. ⟨10.1016/j.crma.2010.11.001⟩ Article dans une revue inria-00495991v1
On selection dynamics for competitive interactions Pierre-Emmanuel Jabin,Gaël Raoul Journal of Mathematical Biology, 2010, ⟨10.1007/s00285-010-0370-8⟩ Article dans une revue istex hal-00602077v1
On selection dynamics for continuous structured populations Stéphane Mischler,Laurent Desvillettes,Pierre-Emmanuel Jabin,Gael Raoul Communications in Mathematical Sciences, 2008, 6 (3), pp.729--747 Article dans une revue hal-00363138v1

Pré-publication, Document de travail (6)

A model for a population of trees structured by phenological traits Sirine Boucenna,Vasilis Dakos,Gaël Raoul 2026 Pré-publication, Document de travail hal-05467198v1
On measure-valued solutions for a structured population model with transfers Pierre Magal,Gaël Raoul 2025 Pré-publication, Document de travail hal-05111754v1
Non-Asymptotic Convergence of Discrete Diffusion Models: Masked and Random Walk dynamics Giovanni Conforti,Alain Durmus,Le-Tuyet-Nhi Pham,Gael Raoul 2026 Pré-publication, Document de travail hal-05472576v1
Exponential convergence to a steady-state for a population genetics model with sexual reproduction and selection Gaël Raoul 2021 Pré-publication, Document de travail hal-03434278v1
Spatial dynamics of a population in a heterogeneous environment Pascal Maillard,Gaël Raoul,Julie Tourniaire 2021 Pré-publication, Document de travail hal-03292329v1
Effects of variations in adaptation potential on invasion speeds and species ranges José Méndez-Vera,Gaël Raoul,François Massol,Nicolas Loeuille 2020 Pré-publication, Document de travail hal-02942322v1