Coloquio - Domingo 25 de Mayo - 19:40

Conferencista: Marcelo Sobottka (Universidad Federal de Santa Catarina, Brasil).
Título: Two-sex population models.
Resumen: In this work, we propose a two-dimensional logistic model to study populations where there exist two genders. The growth behavior of a population is guided by two coupled ordinary differential equations for a non-differentiable vector field whose parameters are the secondary sex ratio (the ratio of males to females at time of birth), inter- and intra-gender competitions, fertility rates and a marriage function. Using geometrical techniques we study the singularities and the basin of attraction of the system, determining the relationships between the parameters for which the system presents an equilibrium point. In particular, we find out conditions on the secondary sex ratio for the stability of the population and determine the relationship between the secondary and the tertiary sex ratios.
´┐╝This is a joint work with E. Garibaldi (UNICAMP - Brazil). M. Sobottka was supported by CNPq-Brazil grant 455399/2011-5 and by
CAPES-Brazil Fellowship.

Sala: FCFM - Sala de Postgrado.
Universidad de Concepci├│n.