ATER Reseacher at Laboratory of Analysis, Topology and Probability, Universities of Aix-Marseille I and III (2004,2005).
PhD Student, in the Laboratoire Jacques-Louis Lions (formerly Laboratoire d'Analyse Numérique), University Paris 6 (2001-2004).
RESEARCH FIELDS
Reaction-diffusion models for population dynamics.
Extinction, persistence and dispersal of populations, and their relationships with spatio-temporal heterogeneities.
Shape optimization problems and their links with population ecology.
PUBLICATIONS
(With François Hamel and Julien Fayard) Spreading speeds in slowly oscillating environments. Bulletin of Mathematical Biology. In Press
(With François Hamel) Uniqueness and stability properties of monostable pulsating fronts. Journal of the European Mathematical Society. In Press
(with Mickaël Chekroun) Does reaction-diffusion support the duality of fragmentation effect? Ecological Complexity. In Press PDF
(with Marie-Anne Auger-Rozenberg and Alain Roques)Modelling the impact of an invasive insect via reaction-diffusion. Mathematical Biosciences, Vol 216 (2008), pp. 47-55. PDF
(with Michel Cristofol) Biological invasions: deriving the regions at risk from partial measurements. Mathematical Biosciences, , Vol 215 (2008), pp. 158-166. PDF
(with Mohammad El Smaily and François Hamel) Homogenization and influence of fragmentationin a biological invasion model. Discrete and Continuous Dynamical Systems, Series A. PDF
(with Henri Berestycki, André Kretzschmar and Alain Roques) A population facing climate change: joint influences of Allee effects and environmental boundary geometry. Population Ecology, Vol 50 (2008), pp 215-225. PDF
(with Mickaël Chekroun) On population resilience to external perturbations. SIAM J. Appl. Math., Vol 68, Issue 1 (2007), pp 133-153. PDF
(with François Hamel) Mathematical analysis of the optimal habitat configurations for species persistence, Mathematical Biosciences, Vol 210 (2007), pp34-59. PDF
(with Radu Stoica) Species persistence decreases with habitat fragmentation: an analysis in periodic stochastic environments, J. Math. Biol., Vol 55 (2007), pp 189-205. PDF
(with Mickaël Chekroun) Models of population dynamics under the influence of external perturbations: mathematical results, C. R. Acad. Sci. Paris, Ser. I 343 (2006), pp 307-310.PDF
Lionel Roques. Study of the premixed flame model with heat losses The existence of two solutions, Euro. Jnl of Applied Mathematics, Vol 16, Issue 06 (2005), pp 741-765.
(with Henri Berestycki and François Hamel) Analysis of the periodically fragmented environment model : I - Species persistence, J. Math. Biol., Vol. 51, 1 (2005), pp 75-113. PDF
(with Henri Berestycki and François Hamel) Analysis of the periodically fragmented environment model : II - Biological invasions and pulsating travelling fronts, J. Math. Pures Appl., Vol 84, 8 (2005), pp 1101-1146. PDF
Lionel Roques. Existence of two travelling wave solutions for a combustion model with heat losses, C.R. Acad. Sci. Paris Ser. I 340 (2005), pp 493-497. PDF
(with Henri Berestycki and François Hamel) Equations de réaction-diffusion et modèles d'invasions biologiques dans les milieux périodiques, C.R. Acad. Sci. Paris Ser. I 339 (2004), pp 549-554.
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