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Giraldo, A. Laguna, V. F. Rodríguez Sanjurjo, José Manuel 2023-06-19T13:23:37Z 2023-06-19T13:23:37Z 2014-04-15 0022-0396 10.1016/j.jde.2014.01.025 https://hdl.handle.net/20.500.14352/33507 http://www.sciencedirect.com/science/article/pii/S0022039614000436 http://www.sciencedirect.com/ We 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. eng restricted access Uniform persistence and Hopf bifurcations in R-+(n) journal article