Giraldo, A.Laguna, V. F.Rodríguez Sanjurjo, José Manuel2023-06-192023-06-192014-04-150022-039610.1016/j.jde.2014.01.025https://hdl.handle.net/20.500.14352/33507We consider parameterized families of flows in locally compact metrizable spaces and give a characterization of those parameterized families of flows for which uniform persistence continues. On the other hand, we study the generalized Poincare-Andronov-Hopf bifurcations of parameterized families of flows at boundary points of R-+(n) or, more generally, of an n-dimensional manifold, and show that this kind of bifurcations produce a whole family of attractors evolving from the bifurcation point and having interesting topological properties. In particular, in some cases the bifurcation transforms a system with extreme non-permanence properties into a uniformly persistent one. We study in the paper when this phenomenon. happens and provide an example constructed by combining a Holling-type interaction with a pitchfork bifurcation.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022039614000436http://www.sciencedirect.com/restricted access514515.1PersistenceUniform continuationDissipativenessPoincare-Andronov-Hopf bifurcationMorse decompositionsGeometríaTopología1204 Geometría1210 Topología