P-50 Proving the existence of 2-cycle bifurcations in a discrete-time model of seabird reproduction

In mathematical biology, discrete-time dynamical systems can be used to model the progression of seabirds through various stages of their reproductive cycles. Burton and Henson posed a simple mathematical model of seabird reproduction; they showed the existence and uniqueness of a branch of stable equilibria that undergoes a 2-cycle bifurcation as colony density increases. Here we prove for a modified, more realistic model that a similar equilibrium branch exists with an analogous 2-cycle bifurcation appearing as the parameter representing colony density increases