Periodic solutions for 3x3 competitive system with cross-diffusion

Salome Martinez
Ingenieria Matematica, Universidad de Chile

(June 10, 2005 11:00 AM - 12:00 PM)

Periodic solutions for 3x3 competitive system with cross-diffusion

Abstract

We study the role of cross-diffusion in the existence of spatially non-constant periodic solutions for a Lotka-Volterra competition system for three species. We will show that by choosing cross-diffusion coefficients in a cyclic way Hopf-bifurcation may arise. We characterize the stability of these solutions when the cross diffusion coefficients are small or large compared with the competition coefficients.