Magal, Pierre2020-06-302020-06-302001-10-08Magal, P. (2001). Compact attractors for time-periodic age-structured population models. <i>Electronic Journal of Differential Equations, 2001</i>(65), pp. 1-35.1072-6691https://hdl.handle.net/10877/11936In this paper we investigate the existence of compact attractors for time-periodic age-structured models. So doing we investigate the eventual compactness of a class of abstract non-autonomous semiflow (non necessarily periodic). We apply this result to non-autonomous age-structured models. In the time periodic case, we obtain the existence of a periodic family of compact subsets that is invariant by the semiflow, and attract the solutions of the system.Text35 pages1 file (.pdf)enAttribution 4.0 InternationalIntegrated semigroupsNonlinear evolutionary systemNon-autonomous semiflowCompact attractorsPeriodic semiflowEventual compactnessArticle