Standard

The inverse problem of linear age-structured population dynamics. / Gyllenberg, Mats; Osipov, Alexander; Päivärinta, Lassi.

In: Journal of Evolution Equations, Vol. 2, No. 2, 01.01.2002, p. 223-239.

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

Harvard

Gyllenberg, M, Osipov, A & Päivärinta, L 2002, 'The inverse problem of linear age-structured population dynamics', Journal of Evolution Equations, vol. 2, no. 2, pp. 223-239.

APA

Gyllenberg, M., Osipov, A., & Päivärinta, L. (2002). The inverse problem of linear age-structured population dynamics. Journal of Evolution Equations, 2(2), 223-239.

Vancouver

Gyllenberg M, Osipov A, Päivärinta L. The inverse problem of linear age-structured population dynamics. Journal of Evolution Equations. 2002 Jan 1;2(2):223-239.

Author

Gyllenberg, Mats ; Osipov, Alexander ; Päivärinta, Lassi. / The inverse problem of linear age-structured population dynamics. In: Journal of Evolution Equations. 2002 ; Vol. 2, No. 2. pp. 223-239.

BibTeX

@article{c50ac9013b3c4e958fec3e66154b69ac,
title = "The inverse problem of linear age-structured population dynamics",
abstract = "We consider the problem of determining the individual survival and reproduction functions (or birth and death rates) from data on total population size and cumulative number of births in a linear age-structured population model. We give conditions that guarantee that this inverse problem has a unique solution. The proof uses a variant of the M{\"u}ntz-Szasz theorem. An age-dependent cell fission model is given special attention.",
keywords = "Cell fission model, M{\"u}ntz-Szasz theorem, Structured population dynamics",
author = "Mats Gyllenberg and Alexander Osipov and Lassi P{\"a}iv{\"a}rinta",
year = "2002",
month = jan,
day = "1",
language = "English",
volume = "2",
pages = "223--239",
journal = "Journal of Evolution Equations",
issn = "1424-3199",
publisher = "Birkh{\"a}user Verlag AG",
number = "2",

}

RIS

TY - JOUR

T1 - The inverse problem of linear age-structured population dynamics

AU - Gyllenberg, Mats

AU - Osipov, Alexander

AU - Päivärinta, Lassi

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We consider the problem of determining the individual survival and reproduction functions (or birth and death rates) from data on total population size and cumulative number of births in a linear age-structured population model. We give conditions that guarantee that this inverse problem has a unique solution. The proof uses a variant of the Müntz-Szasz theorem. An age-dependent cell fission model is given special attention.

AB - We consider the problem of determining the individual survival and reproduction functions (or birth and death rates) from data on total population size and cumulative number of births in a linear age-structured population model. We give conditions that guarantee that this inverse problem has a unique solution. The proof uses a variant of the Müntz-Szasz theorem. An age-dependent cell fission model is given special attention.

KW - Cell fission model

KW - Müntz-Szasz theorem

KW - Structured population dynamics

UR - http://www.scopus.com/inward/record.url?scp=0345757039&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0345757039

VL - 2

SP - 223

EP - 239

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

SN - 1424-3199

IS - 2

ER -

ID: 51711282