Fonda, AlessandroGidoni, Paolo2013-06-202013-06-202013-06-11Version of the preprint of the 11.06.2013 ; DOI :10.1016/j.na.2014.10.011https://openscience.sissa.it/handle/1963/697316 pages recorded in PDF format ; The article will be published in "Nonlinear analysis" v. 121, year : 2015, pages: 73-81We provide a necessary and sufficient condition for permanence related to a local dynamical system on a suitable topological space. We then present an illustrative application to a Lotka–Volterra predator–prey model with intraspecific competition.enPreprintpermanenceuniform persistenceLotka-Volterrapredator-preyMAT/05 ANALISI MATEMATICA