2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112900In this paper we will investigate dynamic stability of percolation for the stochastic Ising model and the contact process. We also introduce the notion of downward and upward $ε$-movability which will be a key tool for our analysis.Published at http://dx.doi.org/10.1214/009117905000000602 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability82C43, 82B43, 60K35 (Primary)Dynamical stability of percolation for some interacting particle systems and $ε$-movabilitytext