Eventual compactness for semiflows generated by nonlinear age-structured models

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December 2004, 3(4): 695-727. doi: 10.3934/cpaa.2004.3.695

Eventual compactness for semiflows generated by nonlinear age-structured models

1.	Department of Mathematics, Université du Havre, 76058 Le Havre, France
2.	Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, United States

Received November 2003 Revised June 2004 Published September 2004

Abstract
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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.

Keywords: Age structured models, attractors, asymptotically smooth semiflow..

Mathematics Subject Classification: 34Gxx, 47H20, 47J35, 58D25, 92D2.

Citation: P. Magal, H. R. Thieme. Eventual compactness for semiflows generated by nonlinear age-structured models. Communications on Pure & Applied Analysis, 2004, 3 (4) : 695-727. doi: 10.3934/cpaa.2004.3.695

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