Enhancement of Fisher-KPP propagation

through lines and strips of fast diffusion

Prof. Andrea Tellini

Univ. Autónoma de Madrid

Jueves 8 de junio, 12:30

Seminario del Departamento de Matemáticas, aula C-17-520

U. Autónoma de Madrid

Resumen. I will present some systems of reaction-diffusion equations which take into account the presence of diffusion (and/or reaction) heterogeneities in some regions of the domain. The motivation is the modelling of the invasion of an environment by a species whose individuals can move (and/or reproduce) faster in some regions of the habitat. I will describe the dynamics of such systems and focus on the qualitative properties of the propagation speed, showing in particular when it is larger than in the case of a homogeneous environment. These are joint works with H. Berestycki and L. Rossi (CAMS, Paris) and E. Valdinoci (University of Melbourne).