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Eventual compactness for semiflows generated by nonlinear age-structured models
In this paper we investigate compactness properties for a semiflow generated by a semi-linear
equation with non-dense domain. We start with the non-homogeneous linear case, and we derive some
abstract conditions for non-autonomous semilinear equations. Then we investigate a special
situation which is well adapted for age-structured equations. We conclude the paper by
applying the abstract results to an age-structured model with an additional structure.