Bifurcation de Hopf pour un modele proie-predateur avec structure d'age.

Abstract

In this memory, we have analyzed an age-structured prey-predator system, we have studied the characteristic equation and we have applied the Hopf bifurcation theory for semi-linear equations. The analysis indicates that under some conditions, a non-trivial periodic solution appears by a Hopf bifurcation, and this occurs when the bifurcation parameter passes through critical values .