Eventual compactness for semiflows generated by nonlinear age-structured models

P. Magal; Horst Thieme

doi:10.3934/cpaa.2004.3.695

Eventual compactness for semiflows generated by nonlinear age-structured models

P. Magal, Horst Thieme

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	695-727
Number of pages	33
Journal	Communications on Pure and Applied Analysis
Volume	3
Issue number	4
DOIs	https://doi.org/10.3934/cpaa.2004.3.695
State	Published - Sep 2004

Keywords

Age structured models
Asymptotically smooth semiflow
Attractors

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.3934/cpaa.2004.3.695

Cite this

@article{c6c99ddd80c345258498ad444ea1b07f,

title = "Eventual compactness for semiflows generated by nonlinear age-structured models",

abstract = "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, Asymptotically smooth semiflow, Attractors",

author = "P. Magal and Horst Thieme",

year = "2004",

month = sep,

doi = "10.3934/cpaa.2004.3.695",

language = "English (US)",

volume = "3",

pages = "695--727",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

publisher = "American Institute of Mathematical Sciences",

number = "4",

}

TY - JOUR

T1 - Eventual compactness for semiflows generated by nonlinear age-structured models

AU - Magal, P.

AU - Thieme, Horst

PY - 2004/9

Y1 - 2004/9

N2 - 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.

AB - 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.

KW - Age structured models

KW - Asymptotically smooth semiflow

KW - Attractors

UR - http://www.scopus.com/inward/record.url?scp=24944581278&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24944581278&partnerID=8YFLogxK

U2 - 10.3934/cpaa.2004.3.695

DO - 10.3934/cpaa.2004.3.695

M3 - Article

AN - SCOPUS:24944581278

SN - 1534-0392

VL - 3

SP - 695

EP - 727

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 4

ER -

Eventual compactness for semiflows generated by nonlinear age-structured models

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this