PhD Student
INRA Unité de Biostatistiques et Processus Spatiaux Biostatistics and Spatial Processes
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- EDUCATION
2017-: PhD, in INRA, Avignon and Aix-Marseille University (AMU). Processus stochastiques et EDP non locales pour modéliser l'adaptation de virus et bactéries en milieu hétérogène : Applications à la gestion des résistances en agronomie et en médecine humaine & vétérinaire.
2013-2017: Student at the "ENS" of Lyon.
2105-2016: "Agrégation" of Mathematics at the "ENS" of Lyon.
- RESEARCH FIELDS
- Mathematics
Nonlinear partial differential equations.
Degenerate parabolic differential equations.
- Ecology
Reaction-diffusion models in homogeneous and heterogeneous media.
Conservation biology. Effects of environmental factors on species extinction and survival.
Population dynamics and population genetics. Mathematical studies of range expansions.
- JOURNAL ARTICLES
- F. Lavigne, G. Martin, Y. Anciaux, J. Papaix, and L. Roques. When sinks become sources: adaptive colonization in asexuals. Evolution, 74:29-42, 2020. Recommended by PCI.
- F. Lavigne and L. Roques. Extinction times of an inhomogenous Feller diffusion process: a PDE approach. Expositiones Mathematicae. Accepted.
- F. Hamel, F. Lavigne, G. Martin and L. Roques. Dynamics of adaptation in an anisotropic phenotype-fitness landscape. Nonlinear Analysis: Real World Applications. Accepted.
- BOOKS
2016: Manuel de Mathématiques, Cycle 4, Edition Lelivrescolaire.Fr, with a programing booklet. 2017: 70 développements possibles pour l'agrégation de mathématiques, Edition Ellipses. |