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A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES. / Alshanskiy, Maxim A.
In: Ural Mathematical Journal, Vol. 4, No. 1 (6), 2018, p. 3-13.

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

Harvard

Alshanskiy, MA 2018, 'A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES', Ural Mathematical Journal, vol. 4, no. 1 (6), pp. 3-13. https://doi.org/10.15826/umj.2018.1.001

APA

Alshanskiy, M. A. (2018). A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES. Ural Mathematical Journal, 4(1 (6)), 3-13. https://doi.org/10.15826/umj.2018.1.001

Vancouver

Alshanskiy MA. A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES. Ural Mathematical Journal. 2018;4(1 (6)):3-13. doi: 10.15826/umj.2018.1.001

Author

Alshanskiy, Maxim A. / A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES. In: Ural Mathematical Journal. 2018 ; Vol. 4, No. 1 (6). pp. 3-13.

BibTeX

@article{fc9e84ce451242a68f1980d1636bf57f,
title = "A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES",
abstract = "Under consideration is construction of a model of age-structured population reflecting random oscillations of the death and birth rate functions. We arrive at an It{\^o}-type difference equation in a Hilbert space of functions which can not be transformed into a proper It{\^o} equation via passing to the limit procedure due to the properties of the operator coefficients. We suggest overcoming the obstacle by building the model in a space of Hilbert space valued generalized random variables where it has the form of an operator-differential equation with multiplicative noise. The result on existence and uniqueness of the solution to the obtained equation is stated.",
author = "Alshanskiy, {Maxim A.}",
year = "2018",
doi = "10.15826/umj.2018.1.001",
language = "English",
volume = "4",
pages = "3--13",
journal = "Ural Mathematical Journal",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
number = "1 (6)",

}

RIS

TY - JOUR

T1 - A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES

AU - Alshanskiy, Maxim A.

PY - 2018

Y1 - 2018

N2 - Under consideration is construction of a model of age-structured population reflecting random oscillations of the death and birth rate functions. We arrive at an Itô-type difference equation in a Hilbert space of functions which can not be transformed into a proper Itô equation via passing to the limit procedure due to the properties of the operator coefficients. We suggest overcoming the obstacle by building the model in a space of Hilbert space valued generalized random variables where it has the form of an operator-differential equation with multiplicative noise. The result on existence and uniqueness of the solution to the obtained equation is stated.

AB - Under consideration is construction of a model of age-structured population reflecting random oscillations of the death and birth rate functions. We arrive at an Itô-type difference equation in a Hilbert space of functions which can not be transformed into a proper Itô equation via passing to the limit procedure due to the properties of the operator coefficients. We suggest overcoming the obstacle by building the model in a space of Hilbert space valued generalized random variables where it has the form of an operator-differential equation with multiplicative noise. The result on existence and uniqueness of the solution to the obtained equation is stated.

UR - https://elibrary.ru/item.asp?id=35339278

U2 - 10.15826/umj.2018.1.001

DO - 10.15826/umj.2018.1.001

M3 - Article

VL - 4

SP - 3

EP - 13

JO - Ural Mathematical Journal

JF - Ural Mathematical Journal

SN - 2414-3952

IS - 1 (6)

ER -

ID: 7980405