Inside dynamics of positive solutions in some non-local equations

In this talk, I will present some joint work with Olivier Bonnefon, Jimmy Garnier and Lionel Roques concerning the inside dynamics of positive solutions of some non-local equations. The notion of inside dynamics has been recently used to characterise the neutral genetic structure of a colonizing population modeled by a travelling wave solution of a homogeneous reaction diffusion equation. The notions of pushed and pulled fronts were at this purpose introduced. I will present some extensions of the notions of pushed/pulled fronts to the case of positive solutions of some homogeneous non-local reaction diffusion equations and the classification that we were able to achieve in a monostable situation.Non UBCUnreviewedAuthor affiliation: INRA AvignonFacult