Compact Attractors for Time-Periodic Age-Structured Population Models
Date
2001-10-08
Authors
Magal, Pierre
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Integrated semigroups, Nonlinear evolutionary system, Non-autonomous semiflow, Compact attractors, Periodic semiflow, Eventual compactness
Citation
Magal, P. (2001). Compact attractors for time-periodic age-structured population models. <i>Electronic Journal of Differential Equations, 2001</i>(65), pp. 1-35.
Rights
Attribution 4.0 International