Minisymposium: Calculs rigoureux en systèmes dynamiques
Rigorous method for global dynamics of semelparous species
Kapela, Tomasz
Jagiellonian University

We study a non-linear age-structured population models for semalparous species. Semelparous species are those whose individuals reproduce only once in their lives and die afterwards. Using rigorous computer assisted methods based on Conley-Morse graphs and covering relations we showed that for given range of parameters almost all initial populations converge to a population consisted only of individuals at one age. Therefore long-time behavoiur of population depends only on one dimensional dynamics of a system on the boundary of the domain.

Mardi, 18 juin, 16h00
Salle Des Plaines A