gael[dot]raoul[at]cmap.polytechnique.fr

Centre de Mathematiques Appliquees, Ecole Polytechnique,

Route de Saclay,

91128 Palaiseau Cedex, FRANCE.

Phone: +33 (0)1 69 33 45 66.

I am a permanent researcher (Charge de recherche CNRS) at the Centre de Mathematiques Appliquees at the Ecole Polytechnique (Paris), and an associated member of the Centre d'Ecologie Fonctionnelle et Evolutive in Montpellier (Team Evolutionary Ecology and Epidemiology). I work on mathematical models used in ecology and evolutionary biology. My main interests at the moment are:

- Impact of climate change on species' range (models for asexual or sexual populations),
- Impact of evolutionary phenomena on the dynamics of epidemics (gene surfing, resistance to antibiotics...),
- Models of particles interacting through non-local forces.

You can find my CV here: CV, and my research ID is M-9794-2015.

- ANR MODEVOL (Mathematical models for evolutionary biology), 2014-2017, coordinator,
- Royal Society/CNRS grant CODYN (Mathematical analysis and simulation of collective dynamics models), 2014-2015, coordinator with Jose Antonio Carrillo, Imperial College,
- ANR MECC (Mechanisms of adaptation to Climate Change: how will phenotypic plasticity, microevolution and migration affect forest trees phenology ?), 2014-2018, member,
- ANR KIBORD (Kinetic models in biology or related domains), 2014-2017, member.

[25] G. Raoul, Macroscopic limit from a structured population model to the Kikrpatrick-Barton model, *preprint*.

[24] N. Berestycki, C. Mouhot, G. Raoul, Existence of self-accelerating fronts for a non-local reaction-diffusion equation, *preprint*.

[23] M. Alfaro, H. Berestycki, G. Raoul, The effect of climate shift on a species submitted to dispersion, evolution,
growth and nonlocal competition, accepted in *SIAM Journal on Mathematical Analysis*.

[22] P. Magal, G. Raoul, Dynamics of a kinetic model for exchanges between cells, *preprint*.

[21*] R. Aguilee, G. Raoul, F. Rousset, O. Ronce, Pollen dispersal slows geographical range shift and accelerates
ecological niche shift under climate change, *Proceedings of the National Academy of Sciences of the United States of America* **113**(39), 5741-5748 (2016).

[20] A. Calsina, S. Cuadrado, L. Desvillettes, G. Raoul, Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions, *Journal of Mathematical Analysis and Applications* **444**(2), 1515-1541 (2016).

[19] Q. Griette, G. Raoul, Existence and qualitative properties of travelling waves for
an epidemiological model with mutations, *Journal of Differential Equations* **260**, 7115-7151 (2016).

[18*] Q. Griette, G. Raoul, S. Gandon, Virulence evolution at the front line of spreading epidemics, *Evolution* **11**(69), 2810-2819 (2015).

[17] V. Calvez, G. Raoul, C. Schmeiser, Confinement by biased velocity jumps: aggregation of E. coli, *Kinetic and Related Models* **8**(4), 651-666 (2015).

[16] P. Degond, A. Frouvelle, G. Raoul, Local stability of perfect alignment for a spatially homogeneous kinetic model, *Journal of Statistical Physics* **157**(1), 84–112 (2014).

[15] M. Alfaro, J. Coville, G. Raoul, Bistable travelling waves for nonlocal reaction diffusion equations, *Discrete and Continuous Dynamical Systems - Series A*, **34**(5), 1775-1791 (2014),

[14] M. Alfaro, J. Coville, G. Raoul, Travelling waves in a nonlocal equation as a model for a population structured by a space variable and a phenotypic trait, *Communications in Partial Differential Equations*, **38**(12), 2126-2154 (2013),

[13] D. Balague, J.A.J. Carrillo, T. Laurent, G. Raoul, Dimensionality of local minimizers of the interaction energy, *Archive for Rational Mechanics and Analysis* **209**(3), 105-1088 (2013),

[12] D. Balague, J.A.J. Carrillo, T. Laurent, G. Raoul, Nonlocal interactions by repulsive-attractive potentials: radial in/stability, *Physica D* **260**, 5-25 (2013).

[11*] S. Mirrahimi, G. Raoul, Population structured by a space variable and a phenotypical trait, *Theoretical Population Biology* **84**, 87-103 (2013),

[10] A. Calsina, S. Cuadrado, L. Desvillettes, G. Raoul, Asymptotics of steady states of a selection mutation equation for small mutation rate, *Proceedings of the Royal Society of Edinburgh* **143**(06), 1123-1146 (2013).

[9] G. Raoul, Non-local interaction equations: stationary states and stability analysis, *Differential and Integral Equations* **25**(5-6), 417-440 (2012)

[8] E. Bouin, V. Calvez,N. Meunier,S. Mirrahimi,B. Perthame, G. Raoul,R. Voituriez, Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration, *Comptes Rendus Mathematiques de l'Academie des Sciences de Paris* **350**(15-16), 761-766 (2012),

[7] G. Raoul, Local stability of evolutionary attractors for continuous structured populations, *Monatshefte fur Mathematik* **165**(1), 117-144 (2012),

[6] G. Raoul, Long time evolution of populations under selection and vanishing mutations, *Acta Applicandae Mathematica* **114**(1-2), 1-14 (2011),

[5] P.E. Jabin, G. Raoul, On selection dynamics for competitive interactions, *Journal of Mathematical Biology* **63**(3), 493-517 (2011),

[4] K. Fellner, G. Raoul, Stability of stationary states of non-local equations with singular interaction potentials, *Mathematical and Computer Modelling* **53**(7-8), 1436-1450 (2011),

[3] K. Fellner, G. Raoul, Stable stationary states of non-local interaction equations, *Mathematical Models and Methods in Applied Sciences*, **20**(12), 2267-2291 (2011),

[2] N. Champagnat, P.E. Jabin, G. Raoul, Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems, Comptes Rendus Mathematiques de l'Academie des Sciences de Paris **348**(23-24), 1267-1272 (2010),

[1] L. Desvillettes, P.E. Jabin, S. Mischler, G. Raoul, On selection dynamics for continuous structured populations, Communications in Mathathematical Sciences **6**(3), 729-747 (2008),