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ASPECTOS ANALITÍCOS DE LA BIFURCACIÓN ZIP Analytical aspects of the zip bifurcation

—This research paper examines analytical aspects related to the dynamic and asymptotic behavior of the real component of the eigenvalues of the linearization of the system along a continuum of equilibria k L in a Type predator prey system generated from a differential nonlinear three-dimensional field which exhibits phenomenon of zip bifurcation. These analytical relationships are interesting, since they allow a new proof of the existence of the zip bifurcation, given by Professor Miklos Farkas in [5] which can be extended to the analysis of the imaginary component of the eigenvalues of the linearization system along L K to treat bifurcation zip in non-smooth dynamic systems.