From homogeneous eigenvalue problems to two-sex population dynamics

Horst Thieme

doi:10.1007/s00285-017-1114-9

From homogeneous eigenvalue problems to two-sex population dynamics

Horst Thieme

Mathematical and Statistical Sciences, School of (SoMSS)

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

11 Scopus citations

Abstract

Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced by Karl-Peter Hadeler in the late 1980s. They are applied to a basic discrete-time two-sex population model and to the relation between the basic turnover number and the basic reproduction number.

Original language	English (US)
Pages (from-to)	1-22
Number of pages	22
Journal	Journal of Mathematical Biology
DOIs	https://doi.org/10.1007/s00285-017-1114-9
State	Accepted/In press - Mar 8 2017

Keywords

Enclosure theorems
Homogeneous order-preserving operators
Ordered normed vector spaces
Pair formation
Spectral radius

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

Access to Document

10.1007/s00285-017-1114-9

Cite this

@article{9cc898a3a1fc4e638b995f281523bdd3,

title = "From homogeneous eigenvalue problems to two-sex population dynamics",

abstract = "Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced by Karl-Peter Hadeler in the late 1980s. They are applied to a basic discrete-time two-sex population model and to the relation between the basic turnover number and the basic reproduction number.",

keywords = "Enclosure theorems, Homogeneous order-preserving operators, Ordered normed vector spaces, Pair formation, Spectral radius",

author = "Horst Thieme",

year = "2017",

month = mar,

day = "8",

doi = "10.1007/s00285-017-1114-9",

language = "English (US)",

pages = "1--22",

journal = "Journal of Mathematical Biology",

issn = "0303-6812",

publisher = "Springer Verlag",

}

TY - JOUR

T1 - From homogeneous eigenvalue problems to two-sex population dynamics

AU - Thieme, Horst

PY - 2017/3/8

Y1 - 2017/3/8

N2 - Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced by Karl-Peter Hadeler in the late 1980s. They are applied to a basic discrete-time two-sex population model and to the relation between the basic turnover number and the basic reproduction number.

AB - Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced by Karl-Peter Hadeler in the late 1980s. They are applied to a basic discrete-time two-sex population model and to the relation between the basic turnover number and the basic reproduction number.

KW - Enclosure theorems

KW - Homogeneous order-preserving operators

KW - Ordered normed vector spaces

KW - Pair formation

KW - Spectral radius

UR - http://www.scopus.com/inward/record.url?scp=85014641155&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014641155&partnerID=8YFLogxK

U2 - 10.1007/s00285-017-1114-9

DO - 10.1007/s00285-017-1114-9

M3 - Article

C2 - 28275824

AN - SCOPUS:85014641155

SN - 0303-6812

SP - 1

EP - 22

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

ER -

From homogeneous eigenvalue problems to two-sex population dynamics

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this