Parabolic and kinetic models in population dynamics

Europe/Paris
Amphithéâtre Laurent Schwartz, building 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, building 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne 31062 Toulouse Cedex 9
Description

Aims and scope:

Parabolic and kinetic problems are ubiquitous in the modeling of population dynamics, including for example cell dynamics, animal or plant propagation, ecology, epidemiology. This workshop aims at presenting the latest results in the field, gathering the most recognised experts in the international community. Special emphasis will be made on reaction-diffusion equations, cross-diffusion systems and kinetic models, both on the theoretical and numerical aspects.

This workshop is part of the thematic semester Modelling, numerical analysis and scientific computing in PDEs organized by the Labex CIMI and will also serve as the opening workshop of the ANR JCJC Indyana.

 

The final program together with the book of titles and abstracts is available for download here.

 

List of speakers:

  • Elisa Affili
  • Maxime Breden
  • Vincent Calvez
  • Cécile Carrère
  • Catherine Choquet 
  • Chris Cosner
  • Elaine Crooks 
  • Noemi David
  • Laurent Desvillettes
  • Romain Ducasse
  • Raluca Eftimie 
  • Jimmy Garnier
  • François Hamel
  • Chris Henderson
  • Danielle Hilhorst 
  • Hélène Hivert 
  • Matt Holzer
  • Pierre Magal
  • Idriss Mazari
  • Sepideh Mirrahimi 
  • Ayman Moussa
  • Hyunjoon Park
  • Angela Stevens 
  • Susanna Terracini
  • Mingmin Zhang 

 

Organizers: Grégory Faye & Ariane Trescases (local organizers)

                      Thomas Giletti,  Léo Girardin, Quentin Griette & Alessandro Zilio

Practical information:

The workshop will start on Monday 26 September early afternoon (1:30pm) and end on Friday 30 September mid-afternoon (~3:30pm).

It will take place within the Institut de Mathématiques de Toulouse, in the Amphitheater Laurent Schwartz. A detailed map of campus is available here : Access to campus. The amphitheater is located in building no. 23 on the campus map (rue Sébastienne Guyot).

From downtown, take the Metro B line up to "Université Paul Sabatier" station. The 1R3 mathematics building is two hundred meters away from the Metro station.

Registration
General registration
Junior fellowship
Registration form for invited speakers
Participants
  • Alain Blaustein
  • Alejandro Garriz
  • Angela Stevens
  • Ariane Trescases
  • Aric Wheeler
  • Ayman Moussa
  • Baptiste Maucourt
  • Bastien Polizzi
  • Branda Goncalves
  • Catherine Choquet
  • Chiara Villa
  • Christopher Henderson
  • Cécile Carrère
  • Danielle Hilhorst
  • Elaine Crooks
  • Elisa Affili
  • Elisabetta Brocchieri
  • Fanny Delebecque
  • Florian Patout
  • Francis Filbet
  • François Hamel
  • George Christopher Cosner
  • Gregory FAYE
  • Hyunjoon Park
  • Hélène Hivert
  • Idriss Mazari-Fouquer
  • Ignacio Madrid
  • Iuliia Petrova
  • Jean-Francois Coulombel
  • Jesús Bellver Arnau
  • Jimmy Garnier
  • judith vancostenoble
  • Laura Kanzler
  • Laurent Desvillettes
  • Louis FOSTIER
  • Lucas Coeuret
  • Léo Girardin
  • Manon Costa
  • Matt Holzer
  • Maxime Breden
  • Maxime Estavoyer
  • Michèle Romanos
  • Mihai MARIS
  • Mingmin Zhang
  • Myeongju Kang
  • Nicolas Augier
  • Nicolas Torres
  • Noemi David
  • Patrick Martinez
  • Philippe LAURENCOT
  • Pierre Magal
  • Pierre Roux
  • Pratik Rai
  • Quentin GRIETTE
  • Raluca Eftimie
  • Romain Ducasse
  • Samuel Stephan
  • Samuel Tréton
  • Saoussen Latrach
  • Sepideh Mirrahimi
  • Sten Madec
  • Susanna Terracini
  • Thomas Giletti
  • Vianney Brouard
  • Vincent Calvez
  • Zhucheng Jin
    • 1:30 PM 1:45 PM
      Opening and Welcome 15m
    • 1:45 PM 2:35 PM
      Rotating Spirals in segregated reaction-diffusion systems 50m
      Speaker: Susanna Terracini
    • 2:35 PM 3:25 PM
      The shape defect function and stability of traveling waves 50m
      Speaker: Christopher Henderson
    • 3:55 PM 4:45 PM
      Propagation properties in a multi-species SIR reaction-diffusion system 50m
      Speaker: Romain Ducasse (LJLL)
    • 4:45 PM 5:35 PM
      How to force biphasic life cycles 50m
      Speaker: Cécile Carrère (Université d'Orléans)
    • 9:00 AM 9:50 AM
      Existence and regularity for cross diffusion equations coming out of population dynamics 50m
      Speaker: Laurent Desvillettes
    • 9:50 AM 10:40 AM
      Numerical schemes for concentration phenomena in Lotka-Volterra equations 50m
      Speaker: Hélène HIVERT (ECL - ICJ)
    • 11:10 AM 12:00 PM
      About the many equilibria of some cross-diffusion systems in population dynamics 50m
      Speaker: Maxime Breden
    • 1:45 PM 2:35 PM
      Singular limit of stochastic Allen-Cahn eqaution with nonlinear diffusivity 50m
      Speaker: Hyunjoon Park
    • 2:35 PM 3:25 PM
      Kermack-McKendrick models on a two-scale network, connections to the Boltzmann equations and a free boundary problem in time for the spread of Covid-19 50m
      Speaker: Angela Stevens
    • 3:55 PM 4:45 PM
      Controllability in Lotka-Volterra competitive systems with positive coefficients 50m
      Speaker: Elisa Effili
    • 4:45 PM 5:35 PM
      Spreading speeds and one-dimensional symmetry for reaction-diffusion equations in $\mathbb{R}^N$ 50m
      Speaker: François Hamel (Aix-Marseille Université)
    • 9:00 AM 9:50 AM
      Travelling waves and minimality exchange in smectic C* liquid crystals 50m
      Speaker: Elaine Crooks (Swansea University)
    • 9:50 AM 10:40 AM
      Some optimal control & game theoretical problems in spatial ecology 50m
      Speaker: Idriss Mazari-Fouquer
    • 11:10 AM 12:00 PM
      TBA 50m
      Speaker: Florian Patout (BioSP, INRAE)
    • 9:00 AM 9:50 AM
      Reaction-diffusion-advection models with multiple movement modes 50m
      Speaker: Chris Cosner
    • 9:50 AM 10:40 AM
      Incompressible limit and rate of convergence for tumor growth models with a drift 50m
      Speaker: Noemi David (Sorbonne Université)
    • 11:10 AM 12:00 PM
      Invasion and coexistence among mutualistic community 50m
      Speaker: Jimmy Garnier
    • 1:45 PM 2:35 PM
      Convergence to a self-similar profile for a one dimensional one phase Stefan problem 50m
      Speaker: Danielle Hilhorst (CNRS et Université Paris-Saclay)
    • 2:35 PM 3:25 PM
      Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity 50m
      Speaker: Matt Holzer
    • 3:55 PM 4:45 PM
      Reaction-diffusion fronts in funnel-shaped domains 50m
      Speaker: Mingmin Zhang
    • 4:45 PM 5:35 PM
      Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations 50m
      Speaker: Sepideh Mirrahimi (CNRS, Institut de mathématiques de Toulouse)
    • 9:00 AM 9:50 AM
      Computational and analytical approaches for pattern formation in nonlocal hyperbolic systems for biological aggregations 50m
      Speaker: RALUCA EFTIMIE (Université Bourgogne-Franche-Comté)
    • 9:50 AM 10:40 AM
      Logistic equations with non-local and non-linear convection: a model for cells motion 50m
      Speaker: Pierre Magal (Université de Bordeaux)
    • 11:10 AM 12:00 PM
      Stability, weak-strong uniqueness and derivation of the SKT system 50m
      Speaker: Ayman Moussa
    • 2:00 PM 3:00 PM
      Colloquium: Une promenade mathématique en biologie de l'évolution 1h

      La biologie de l'évolution a été formalisée très tôt à l'aide de raisonnements et modèles mathématiques, déterministes ou aléatoires. Dans cet exposé je présenterai quelques progrès récents sur des questions de génétique quantitative, lorsque la population soumise à évolution est décrite par un trait de caractère (phénotype) continu. Le fil conducteur de l'étude sera l'analyse asymptotique de modèles EDP ou intégro-différentiels très étudiés dans la communauté de biologie évolutive, analyse revisitée avec des outils "modernes". En particulier, je montrerai une analogie fructueuse avec l'analyse semi-classique dans le régime où la diversité dans la population est faible. Cette analogie permet d'aborder un grand nombre de cas d'étude, par exemple lorsque les populations sont réparties dans des habitats hétérogènes (du point de vue de la sélection), lorsque l'environnement change au cours du temps, etc...

      Côté mathématique, ce sera l'occasion de présenter des résultats d'EDP, de processus stochastiques, et d'analyse numérique.

      Speaker: Vincent Calvez (CNRS et Institut Camille Jordan)