Multiparameter Bifurcation of a Predator-Prey System

Source abstract

For a two-dimensional predator-prey system, proposed by Bazykin and depending on several parameters, a complete local bifurcation analysis with respect to all parameters is achieved. The major part of the paper is devoted to the unfolding of a degenerate codimension-2 bifurcation occurring for a one-dimensional subset of parameters. The main problem here consists in studying parameter dependent integrals which are not algebraic.