Geodesic
Compact attractors for time-periodic age-structured population models
Electronic journal of differential equations, Tome 2001 (2001)
In 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.
Classification : 33L25, 47D62, 47H20, 92D25
Keywords: integrated semigroups, nonlinear evolutionary system, non-autonomous semiflow, compact attractors, periodic semiflow 
@article{EJDE_2001__2001__a191,
     author = {Magal,  Pierre},
     title = {Compact attractors for time-periodic age-structured population models},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0992.35019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a191/}
}
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Magal,  Pierre. Compact attractors for time-periodic age-structured population models. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a191/