Lionel ROQUES
Researcher: mathematics and modelling
- CONTACTS
INRA
Unité de Biostatistiques et Processus Spatiaux
Biostatistics and Spatial Processes
Domaine St-Paul - Site Agroparc
84914 Avignon Cedex
Tél.: + 33 4 32 72 21 53
Fax: +33 4 32 72 21 82
Lionel.Roques_at_avignon.inra.fr
- POSITIONS AND EDUCATION
INRA, 1st class research scientist (CR1), since September 2009.
INRA, 2nd class research scientist (CR2), since September 2005.
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 in heterogeneous media.
Extinction, persistence and dispersal of populations, and their relationships with spatio-temporal heterogeneities.
Shape optimization problems and their links with population ecology.
Inverse problems for parabolic equations with non-constant coefficients.
- PUBLICATIONS
[26] (with François Hamel and Jimmy Garnier) Success rate of a biological invasion in terms of the spatial distribution of the founding population. Bulletin of Mathematical Biology. In Press. DOI
[25] (with Michel Cristofol, Jimmy Garnier and François Hamel) Uniqueness from pointwise observations in a multi-parameter inverse problem. Communications on Pure and Applied Analysis. In Press.
[24] (with Samuel Soubeyrand and Jérôme Rousselet) A statistical-reaction-diffusion approach for analyzing expansion processes. Journal of Theoretical Biology, vol 274 (2011), PP. 43-51. DOI
[23] (with Samuel Soubeyrand, Julien Fayard and Jérôme Coville) Patchy patterns due to group dispersal. Journal of Theoretical Biology, vol 271 (2011), pp. 87-99. DOI
[22] (with Mickaël Chekroun) Probing chaos and biodiversity in a simple competition model. Ecological Complexity, vol 8 (2011), pp. 98-104. PDF DOI
[21] (with François Hamel and Grégoire Nadin) A viscosity solution method for the spreading speed formula in slowly varying media. Indiana Univ. Math. J. In Press. PDF
[20] (With François Hamel) Uniqueness and stability properties of monostable pulsating fronts. Journal of the European Mathematical Society., vol 13 (2011), pp. 345-390. PDF
[19] (With François Hamel) Fast propagation for KPP equations with slowly decaying initial conditions. Journal of Differential Equations, vol 249 (2010), pp 1726-1745. PDF
[18] (With François Hamel, Julien Fayard, Bruno Fady and Etienne Klein) Recolonisation by diffusion can generate increasing rates of spread. Theoretical Population Biology, vol 77 (2010), pp 205-212. DOI, PDF
[17] (with Michel Cristofol) On the determination of the nonlinearity from localized measurements in a reaction-diffusion equation. Nonlinearity, vol 23 (2010), pp. 675-686. DOI, PDF
[16] (With François Hamel and Julien Fayard) Spreading speeds in slowly oscillating environments. Bulletin of Mathematical Biology, vol 72 (2010), pp. 1166-1191. DOI, PDF
[15] (with Mickaël Chekroun) Does reaction-diffusion support the duality of fragmentation effect? Ecological Complexity, vol 7(2010), pp. 100-106. DOI, PDF
[14] (with Mohammad El Smaily and François Hamel) Homogenization and influence of fragmentation in a biological invasion model. Discrete and Continuous Dynamical Systems, Series A, vol 25 (2009), pp. 321-342. PDF
[11] (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
[9] (with Mickaël Chekroun) On population resilience to external perturbations. SIAM J. Appl. Math., Vol 68, Issue 1 (2007), pp 133-153. PDF
[8] (with François Hamel) Mathematical analysis of the optimal habitat configurations for species persistence, Mathematical Biosciences, Vol 210 (2007), pp34-59. PDF
[7] (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
[6] (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
[5] 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.
[4] (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
[3] (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
[2] 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
[1] (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.