PhD Student
BioSP, Inrae, Avignon
I2M, Aix-Marseille Université, Marseille
nathanael.boutillon~at~inrae.fr
About
I am a PhD student interested in mathematical models for population dynamics. My advisors are Raphaël Forien, François Hamel and Lionel Roques.
I work on deterministic models based on the Fisher-KPP equation. I am often led to study the principal eigenvalue of an elliptic operator. I also try to see the PDEs that I study from a probabilistic perspective.
I am a member of the ANR project ReaCH and of the Chaire MMB (Modélisation Mathématique et Biodiversité).
Research interests :
- Reaction-diffusion equations
- Principal eigenvalue of elliptic operators
- Probabilistic point of view of PDEs
- Population dynamics
- Population genetics
Publications
- "Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher-KPP equation",
Nonlinear Analysis, 2024
Article, Arxiv, HAL - "Polymorphic population expansion velocity in a heterogeneous environment",
L. Roques, N.B., P. Zamberletti, J. Papaïx,
Journal of Theoretical Biology, 2024
Article, HAL
Preprints
- "Impact of diffusion mechanisms on persistence and spreading" (2024),
N.B., Y.-J. Kim and L. Roques,
Arxiv - "Qualitative properties of the spreading speed of a population structured in space and in phenotype" (2024),
Arxiv, HAL - "Reaction-diffusion model for a population structured in phenotype and space I – Criterion for persistence" (2024),
N.B. and L. Rossi,
Arxiv, HAL - "The principal eigenvalue problem for a strongly anisotropic second-order elliptic operator" (2023),
Arxiv, HAL
Talks
- 12/2024: Seminar of PDEs, Clermont-Ferrand
- 10/2024: Congrès des Jeunes Chercheur.e.s en Mathématiques Appliquées, Lyon
- 05/2024: Propagation and Stability in Evolution Equations, Kelowna, Okanagan (online)
- 04/2024: GDT (working group) Math-bio Sud-Est, Marseille
- 02/2024: Launching meeting of the ANR project ReaCH, Paris
- 02/2024: Seminar "DINGOS" on evolution/dynamical systems, Avignon
- 01/2024: Seminar of the PhD students, Marseille
- 06/2023: Probability Meets Biology II, Bath
- 06/2023: Summer school of the Chaire MMB (Modélisation Mathématique et Biodiversité), Aussois
Posters
- 11/2024: Rencontres Normandes sur les aspects théoriques et numériques des EDP, Rouen
- 09/2024: Nonlocal Branching Processes, Marseille
- 07/2024: Mathematical Models in Ecology and Evolution, Vienna
- 05/2024: Stochastic Processes in Evolutionary Biology, Marseille
- 12/2023: EverEvol – Population dynamics: from rare events to evolution, Grenoble
- 11/2023: GDR Branchement, Toulouse
- 01/2023: ReaDiNet 2023: International conference on parabolic and stochastic models in mathematical biology, Orsay
Short Vitae
- 2022 - ... : PhD Student,
I2M Aix-Marseille Université and BioSP, Inrae - 2021 - 2022 : visiting student
University of Rome - La Sapienza, with Luca Rossi
University of Oxford, with Alison Etheridge - 2020 - 2021: M.Sc. Master Mathematics for Life Science
Université Paris-Saclay & École Polytechnique
Mention très bien - 2018 - 2022: Student at the École Normale Supérieure de Lyon