INRA

Lancer l'impression

Fermer cette fenêtre

Jérôme COVILLE


Chargé de Recherche
 

  • CURRENT POSITION
Researcher, Dept. Mathematics and Applied Informatic (MIA).

  • CONTACTS
INRA - Unité de Biostatistiques et Processus Spatiaux (UR546)
Domaine St-Paul - Site Agroparc
84914 Avignon Cedex

Tél.: +33 4 32 72 21 57
Fax: +33 4 32 72 21 82
jerome.coville_at_avignon.inra.fr

  • POSITIONS AND EDUCATION
INRA Researcher (CR2) since 2008
Researcher in the Max Planck Institute for Mathematics in the Sciences (2006-2008)
Post-doc Ecos/Conycit Universidad de Chile/CMM UMI CNRS 2807 (2005-2006)
ATER Reseacher at the Laboratory Jacques-Louis Lions (University Paris 6) and at the Laboratory Ceremade (University Paris Dauphine) (2003-2005).
Cooperation, TMR "Front singularities and PDE" " Mathematical problem arising in sub and supersonic combustion media." Tel Aviv University, Israel (2000-2002)
PhD Student, in the Laboratoire Jacques-Louis Lions (formerly Laboratoire d'Analyse Numérique), University Paris 6 (1999-2003).

  • RESEARCH INTERESTS
A biological invasion is characterized by an area's growth of repartition of a species per a given period of time. Whether natural or artificial, biological invasions play an important role in the evolution of species. However, the changes induced by these invasions may have devastating consequences. The introduction of new species (animal or plant) represents a significant perturbation of the native population, creating a major threat for most of the endemic species in the ecosystem.
One of the prime objectives of mathematical modeling in ecology is to provide a simple and efficient way to describe, understand and predict the results of such invasions.
From this perspective, since my PhD and now on at the INRA, my research effort essentially focuses on the following topics :
    • Modeling the dispersal of individuals and impact of space heterogeneity
    • Speed of invasion and characterization of the phase transition 
    •  Impact of space heterogeneity on the survival of individuals 

  • RESEARCH FIELDS
    • Non local reaction diffusion Equations applied to ecology.
    • Heterogeneous dispersal via integro-differential operators.
    • PDE's system in combustion theory.
    • Propagation of interfaces in random media.
 
  • PUBLICATIONS
 
Equation de réaction diffusion non-locale
Thèse de doctorat, soutenue le 18 Novembre 2003. (fichier these.pdf)

Travelling fronts in integrodifferential equations, avec L. Dupaigne C.R. Acad. Sci. Paris Série I. 337 (2003) 25-30. ( fichier Note1.pdf)

Monotonicity in integrodifferential equations, C.R. Acad. Sci. Paris Série I. 337 (2003) 445-450. ( fichier Note2.pdf)

Propagation speed of travelling fronts in nonlocal reaction-diffusion equations, avec L. Dupaigne Nonlinear Anal. 60 (2005), no. 5, 797--819. ( fichier Speed.pdf)

On uniqueness and monotonicity of solutions of non-local reaction diffusion equations Ann. Mat. Pura Appl. (4) 185 (2006), no. 3, 461--485. ( fichier monotonie.pdf)

On a nonlocal reaction diffusion equation arising in population dynamics, avec L. Dupaigne Proceedings of the Mathematical and Royal society of Edinburgh 137 A,727--755, 2007 ( fichier monostable.pdf)

Maximum principles, Sliding methods and applications to non-local equations Electronic Journal of Differential Equations, Vol. 2007(2007), No. 68, pp. 1-23. ( fichier pmmg.pdf)

A non local inhomogeneous dispersal process, avec C. Cortazar, M. Elgueta et Sa. Martinez J. Differential Equation 241 (2007) 332-358 ( fichier CCEM.pdf)

Existence/Non-existence and uniqueness of solutions to a non-local equation with monostable nonlinearity, avec J. Davila et Sa. Martinez ( fichier CDM.pdf)

Nonlocal anisotropic dispersal with a monostable nonlinearity, avec J. Davila et Sa. Martinez ( fichier coville-davila-martinez-2.pdf)

Travelling waves in nonlocal reaction diffusion equation :The bistable and ignition case Preprint du CMM. ( fichier bistable.pdf)

Some remarks on the strong maximum principle for general non local operators, ( fichier pajc.pdf)

An Harnack inequality for some non local non homogeneous equations. Preprint du MPI (fichier Harnack.pdf)

Existence of multiple of flame balls in a thermo-diffusive combustion model with heat loss (avec J. Davila) (fichier flameball.pdf).
 

Rédacteur : BPS
Date de création : 26/02/2009
Date de dernière mise à jour : 02/03/2009

INRA PACA. Domaine Saint Paul
Site Agroparc 84914 Avignon cedex 9
tél : (33) 04 32 72 20 00 - fax : (33) 04 32 72 20 42

copyright © 2008 | Crédits | Mentions légales