Mathematical analysis of Reaction-Diffusion systems and Age-dependent problems,
global or finite time existence of solutions, non-coincident spatial domains, spatial heterogeneities, stabilization of solutions, qualitative behavior of solutions.
Mathematical modelling and model analysis in Ecology and Epidemiology,
predator-prey systems posed on non coincident spatial domains, host-parasite models with indirect or vector transmission for animal populations, airborne parasites for vegetal populations with applications to,
– Toxoplasma gondii in cat – small rodent systems, with Emmanuelle Gilot-Fromont, UMR CNRS 5558 LBBE & Univ. C. Bernard Lyon 1 / Veterinary School of Lyon, and Maud Lélu, NIMBioS at Univ Knoxville (TN),
– Blue Tongue Virus for cattle herds, with Pauline Ezanno INRA / Veterinary School of Nantes, Ph.D program for Maud Charron,
– Powdery mildew in vineyards, with Agnès Calonnec INRA Bordeaux.
Most of my 2008/2010 INRIA leave was dedicated to developping these topics.
Editorial Boards,
Member of the editorial boards of,
– Communications in Pure and Applied Analysis (2002 / 2009),
– Journal of Biological Dynamics (from Fall 2008).
Guest-editor with M. Gyllenberg and F. Milner of a special issue of J. Theoretical Biology, Mathematics in Interactions (vol. 258, 3, 2009), lectures from CMPD2, Campinas 2007.
Guest editor with J. Bona, J. Hulshof, A. Miranville, J.-M. Roquejoffre of a special issue of DCDS-S (vol. 4, 1, 2011) in honor of C.-M. Brauner for his 60th birthday, February 2008.
Ph.D. and HdR advisory :
– advisor or co-advisor of 12 Ph.D. in Mathematical Sciences in Bordeaux;
– collaborator of B. Ainseba, M. Saad and A. Ducrot while preparing their HdR in Bordeaux and of T. Aliziane for his « thèse d’état » in Algiers ;
– methodological / modelling support for 6 Ph.D. students in Biological Sciences and 1 Ph.D. student in Computer Sciences.
