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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

P. Magal 1, and  H. R. Thieme 2,

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

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