Institut de Mathématiques de Toulouse

Les événements de la journée


1 événement


  • Séminaire Mathématiques pour la biologie

    Jeudi 26 avril 13:30-14:30 - ANNULÉ (Maxime Breden - TU Munich)

    ANNULÉ

    Résumé : About the equilibria of a cross-diffusion system in population dynamics
    Cross-diffusion is a mechanism used in population dynamics to model a repulsive effect between individuals. Mathematically, this corresponds to adding a nonlinear diffusion term to classical reaction-diffusion systems. Cross-diffusion allows to obtain a richer variety of solutions, whose qualitative behavior seems to better fit observations (spatial segregation phenomenon), but it also complicates the mathematical study of these solutions.
    In this talk, I explain how numerical simulations can be combined with a posteriori estimates, to obtain computer-assisted proofs about inhomogeneous steady states of a cross-diffusion system.

    Lieu : salle MIP, 1er étage bat 1R3

    [En savoir plus]