Name: Parabolic and kinetic models in population dynamics
Start: 2022-09-26T10:00:00+02:00
End: 2022-09-30T18:25:00+02:00
Location: Institut de Mathématiques de Toulouse

Parabolic and kinetic models in population dynamics

from Monday, September 26, 2022 (10:00 AM) to Friday, September 30, 2022 (6:25 PM)

Monday, September 26, 2022

1:30 PM Opening and Welcome
Opening and Welcome
1:30 PM - 1:45 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
1:45 PM Rotating Spirals in segregated reaction-diffusion systems - Susanna Terracini
Rotating Spirals in segregated reaction-diffusion systems
- Susanna Terracini
1:45 PM - 2:35 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
2:35 PM The shape defect function and stability of traveling waves - Christopher Henderson
The shape defect function and stability of traveling waves
- Christopher Henderson
2:35 PM - 3:25 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
3:55 PM Propagation properties in a multi-species SIR reaction-diffusion system - Romain Ducasse (LJLL)
Propagation properties in a multi-species SIR reaction-diffusion system
- Romain Ducasse (LJLL)
3:55 PM - 4:45 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
4:45 PM How to force biphasic life cycles - Cécile Carrère (Université d'Orléans)
How to force biphasic life cycles
- Cécile Carrère (Université d'Orléans)
4:45 PM - 5:35 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
Tuesday, September 27, 2022
9:00 AM Existence and regularity for cross diffusion equations coming out of population dynamics - Laurent Desvillettes
Existence and regularity for cross diffusion equations coming out of population dynamics
- Laurent Desvillettes
9:00 AM - 9:50 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
9:50 AM Numerical schemes for concentration phenomena in Lotka-Volterra equations - Hélène HIVERT (ECL - ICJ)
Numerical schemes for concentration phenomena in Lotka-Volterra equations
- Hélène HIVERT (ECL - ICJ)
9:50 AM - 10:40 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
11:10 AM About the many equilibria of some cross-diffusion systems in population dynamics - Maxime Breden
About the many equilibria of some cross-diffusion systems in population dynamics
- Maxime Breden
11:10 AM - 12:00 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
1:45 PM Singular limit of stochastic Allen-Cahn eqaution with nonlinear diffusivity - Hyunjoon Park
Singular limit of stochastic Allen-Cahn eqaution with nonlinear diffusivity
- Hyunjoon Park
1:45 PM - 2:35 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
2:35 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 - Angela Stevens
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
- Angela Stevens
2:35 PM - 3:25 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
3:55 PM Controllability in Lotka-Volterra competitive systems with positive coefficients - Elisa Effili
Controllability in Lotka-Volterra competitive systems with positive coefficients
- Elisa Effili
3:55 PM - 4:45 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
4:45 PM Spreading speeds and one-dimensional symmetry for reaction-diffusion equations in $\mathbb{R}^N$ - François Hamel (Aix-Marseille Université)
Spreading speeds and one-dimensional symmetry for reaction-diffusion equations in $\mathbb{R}^N$
- François Hamel (Aix-Marseille Université)
4:45 PM - 5:35 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
Wednesday, September 28, 2022
9:00 AM Travelling waves and minimality exchange in smectic C* liquid crystals - Elaine Crooks (Swansea University)
Travelling waves and minimality exchange in smectic C* liquid crystals
- Elaine Crooks (Swansea University)
9:00 AM - 9:50 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
9:50 AM Some optimal control & game theoretical problems in spatial ecology - Idriss Mazari-Fouquer
Some optimal control & game theoretical problems in spatial ecology
- Idriss Mazari-Fouquer
9:50 AM - 10:40 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
11:10 AM TBA - Florian Patout (BioSP, INRAE)
TBA
- Florian Patout (BioSP, INRAE)
11:10 AM - 12:00 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
Thursday, September 29, 2022
9:00 AM Reaction-diffusion-advection models with multiple movement modes - Chris Cosner
Reaction-diffusion-advection models with multiple movement modes
- Chris Cosner
9:00 AM - 9:50 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
9:50 AM Incompressible limit and rate of convergence for tumor growth models with a drift - Noemi David (Sorbonne Université)
Incompressible limit and rate of convergence for tumor growth models with a drift
- Noemi David (Sorbonne Université)
9:50 AM - 10:40 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
11:10 AM Invasion and coexistence among mutualistic community - Jimmy Garnier
Invasion and coexistence among mutualistic community
- Jimmy Garnier
11:10 AM - 12:00 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
1:45 PM Convergence to a self-similar profile for a one dimensional one phase Stefan problem - Danielle Hilhorst (CNRS et Université Paris-Saclay)
Convergence to a self-similar profile for a one dimensional one phase Stefan problem
- Danielle Hilhorst (CNRS et Université Paris-Saclay)
1:45 PM - 2:35 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
2:35 PM Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity - Matt Holzer
Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity
- Matt Holzer
2:35 PM - 3:25 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
3:55 PM Reaction-diffusion fronts in funnel-shaped domains - Mingmin Zhang
Reaction-diffusion fronts in funnel-shaped domains
- Mingmin Zhang
3:55 PM - 4:45 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
4:45 PM Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations - Sepideh Mirrahimi (CNRS, Institut de mathématiques de Toulouse)
Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations
- Sepideh Mirrahimi (CNRS, Institut de mathématiques de Toulouse)
4:45 PM - 5:35 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
Friday, September 30, 2022
9:00 AM Computational and analytical approaches for pattern formation in nonlocal hyperbolic systems for biological aggregations - RALUCA EFTIMIE (Université Bourgogne-Franche-Comté)
Computational and analytical approaches for pattern formation in nonlocal hyperbolic systems for biological aggregations
- RALUCA EFTIMIE (Université Bourgogne-Franche-Comté)
9:00 AM - 9:50 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
9:50 AM Logistic equations with non-local and non-linear convection: a model for cells motion - Pierre Magal (Université de Bordeaux)
Logistic equations with non-local and non-linear convection: a model for cells motion
- Pierre Magal (Université de Bordeaux)
9:50 AM - 10:40 AM
Room: Amphithéâtre Laurent Schwartz, building 1R3
11:10 AM Stability, weak-strong uniqueness and derivation of the SKT system - Ayman Moussa
Stability, weak-strong uniqueness and derivation of the SKT system
- Ayman Moussa
11:10 AM - 12:00 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3
2:00 PM Colloquium: Une promenade mathématique en biologie de l'évolution - Vincent Calvez (CNRS et Institut Camille Jordan)
Colloquium: Une promenade mathématique en biologie de l'évolution
- Vincent Calvez (CNRS et Institut Camille Jordan)
2:00 PM - 3:00 PM
Room: Amphithéâtre Laurent Schwartz, building 1R3 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.

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