Hopf bifurcation for a size structured model with resting phase
Résumé
This article investigates Hopf bifurcation for a size-structured population dynamic model that is designed to describe size dispersion among individuals in a given population. This model has a nonlinear and nonlocal boundary condition. We reformulate the problem as an abstract non-densely defined Cauchy problem, and study it in the frame work of integrated semi-group theory. We prove a Hopf bifurcation theorem and we present some numerical simulations to support our analysis.